Publisher: AIP   (Total: 28 journals)   [Sort alphabetically]

Showing 1 - 26 of 26 Journals sorted by number of followers
Physics Today     Hybrid Journal   (Followers: 76, SJR: 0.66, CiteScore: 1)
J. of Applied Physics     Hybrid Journal   (Followers: 69, SJR: 0.739, CiteScore: 2)
Physics of Fluids     Hybrid Journal   (Followers: 58, SJR: 1.19, CiteScore: 3)
Applied Physics Letters     Hybrid Journal   (Followers: 52, SJR: 1.382, CiteScore: 3)
J. of Chemical Physics     Hybrid Journal   (Followers: 37, SJR: 1.252, CiteScore: 2)
J. of Mathematical Physics     Hybrid Journal   (Followers: 26, SJR: 0.644, CiteScore: 1)
Review of Scientific Instruments     Hybrid Journal   (Followers: 21, SJR: 0.585, CiteScore: 1)
Applied Physics Reviews     Hybrid Journal   (Followers: 15, SJR: 4.156, CiteScore: 12)
J. of Laser Applications     Full-text available via subscription   (Followers: 14, SJR: 0.741, CiteScore: 2)
J. of Renewable and Sustainable Energy     Hybrid Journal   (Followers: 14, SJR: 0.44, CiteScore: 1)
Physics of Plasmas     Hybrid Journal   (Followers: 11, SJR: 0.576, CiteScore: 1)
Acoustics Today     Hybrid Journal   (Followers: 10)
APL Materials     Open Access   (Followers: 10, SJR: 1.63, CiteScore: 4)
AIP Advances     Open Access   (Followers: 7, SJR: 0.472, CiteScore: 1)
Biomicrofluidics     Open Access   (Followers: 6, SJR: 0.592, CiteScore: 2)
Structural Dynamics     Open Access   (Followers: 6, SJR: 1.625, CiteScore: 4)
Low Temperature Physics     Hybrid Journal   (Followers: 5, SJR: 0.264, CiteScore: 1)
Chaos : An Interdisciplinary J. of Nonlinear Science     Hybrid Journal   (Followers: 4, SJR: 0.716, CiteScore: 2)
J. of Physical and Chemical Reference Data     Hybrid Journal   (Followers: 3, SJR: 1.046, CiteScore: 3)
AIP Conference Proceedings     Full-text available via subscription   (Followers: 2)
Biointerphases     Open Access   (Followers: 1, SJR: 0.558, CiteScore: 2)
Chinese J. of Chemical Physics     Hybrid Journal   (Followers: 1, SJR: 0.24, CiteScore: 1)
Surface Science Spectra     Hybrid Journal   (Followers: 1, SJR: 0.416, CiteScore: 1)
APL Photonics     Open Access   (Followers: 1)
Scilight     Full-text available via subscription  
APL Bioengineering     Open Access  
Similar Journals
Journal Cover
Chaos : An Interdisciplinary Journal of Nonlinear Science
Journal Prestige (SJR): 0.716
Citation Impact (citeScore): 2
Number of Followers: 4  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1054-1500 - ISSN (Online) 1089-7682
Published by AIP Homepage  [28 journals]
  • Self-organization toward 1/ f noise in deep neural networks

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      First page: 081101
      Abstract: In biological neural networks, it has been well recognized that a healthy brain exhibits 1 / f noise patterns. However, in artificial neural networks that are increasingly matching or even out-performing human cognition, this phenomenon has yet to be established. In this work, we found that similar to that of their biological counterparts, 1 / f noise exists in artificial neural networks when trained on time series classification tasks. Additionally, we found that the activations of the neurons are the closest to 1 / f noise when the neurons are highly utilized. Conversely, if the network is too large and many neurons are underutilized, the neuron activations deviate from 1 / f noise patterns toward that of white noise.
      PubDate: Thu, 01 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0224138
      Issue No: Vol. 34, No. 8 (2024)
       
  • Synchronization under saturable nonlinearity

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      First page: 081102
      Abstract: In this theoretical work, we introduce a nonlinear gain saturation law representative of the experimentally observed properties manifested by phenomena ranging from aeroacoustic shear layers in self-sustained cavity oscillations to flame heat release rate in thermoacoustic instabilities. Furthermore, this type of saturable gain may be relevant for a wider class of physical systems, such as active laser media in photonics. The nonlinearity discussed herein governs the fullscale behavior of a self-oscillator exhibiting linear loss under large amplitude perturbations, in contrast to the cubic damping and linear gain of the Van der Pol model. A distinctive characteristic of the proposed equation is the simple, well behaved gain term in the slow timescale dynamics.
      PubDate: Thu, 01 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0222816
      Issue No: Vol. 34, No. 8 (2024)
       
  • Macroscopic transport in mixed phase space Hamiltonian systems and the
           role of a distinct time-scale for the power-law decay

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      First page: 081104
      Abstract: Motivated by the losses of runaway electrons during disruptive events in present and future tokamaks like the ITER, we investigate the transport in mixed phase space Hamiltonian systems. We are interested in the regime where the sticky regions, remaining after the disintegration of invariant transport barriers, form layers in the phase space separated by partial barriers to transport. The example we use is the standard map. We show that the survival probability from the internal region can be thought of as the resultant of a radial passage from layer to layer. We show that both exponential and power-law decays are present at the same time, but with independent effective time-scales.
      PubDate: Tue, 20 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0216731
      Issue No: Vol. 34, No. 8 (2024)
       
  • Wavelet analysis of intermittent dynamics in nocturnal electrocardiography
           and electroencephalography data

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      First page: 081105
      Abstract: This paper presents the results of a study of the characteristics of phase synchronization between electrocardiography(ECG) and electroencephalography (EEG) signals during night sleep. Polysomnographic recordings of eight generally healthy subjects and eight patients with obstructive sleep apnea syndrome were selected as experimental data. A feature of this study was the introduction of an instantaneous phase for EEG and ECG signals using a continuous wavelet transform at the heart rate frequency using the concept of time scale synchronization, which eliminated the emergence of asynchronous areas of behavior associated with the “leaving” of the fundamental frequency of the cardiovascular system. Instantaneous phase differences were examined for various pairs of EEG and ECG signals during night sleep, and it was shown that in all cases the phase difference exhibited intermittency. Laminar areas of behavior are intervals of phase synchronization, i.e., phase capture. Turbulent intervals are phase jumps of 2 π. Statistical studies of the observed intermittent behavior were carried out, namely, distributions of the duration of laminar sections of behavior were estimated. For all pairs of channels, the duration of laminar phases obeyed an exponential law. Based on the analysis of the movement of the phase trajectory on a rotating plane at the moment of detection of the turbulent phase, it was established that in this case the eyelet intermittency was observed. There was no connection between the statistical characteristics of laminar phase distributions for intermittent behavior and the characteristics of night breathing disorders (apnea syndrome). It was found that changes in statistical characteristics in the phase synchronization of EEG and ECG signals were correlated with blood pressure at the time of signal recording in the subjects, which is an interesting effect that requires further research.
      PubDate: Fri, 23 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0227179
      Issue No: Vol. 34, No. 8 (2024)
       
  • The effect of multi-tasks mechanism on cooperation in evolutionary game

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      First page: 083101
      Abstract: Human games are inherently diverse, involving more than mere identity interactions. The diversity of game tasks offers a more authentic explanation in the exploration of social dilemmas. Human behavior is also influenced by conformity, and prosociality is a crucial factor in addressing social dilemmas. This study proposes a generalized prisoner’s dilemma model of task diversity that incorporates a conformity-driven interaction. Simulation findings indicate that the diversity of multi-tasks and the path dependence contribute to the flourishing of cooperation in games. Conformity-driven interactions also promote cooperation. However, this promotion effect does not increase linearly, and only appropriate task sizes and suitable proportions of conformity-driven interactions yield optimal results. From a broader group perspective, the interplay of network adaptation, task size, and conformity-driven interaction can form a structure of attractors or repellents.
      PubDate: Thu, 01 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0210787
      Issue No: Vol. 34, No. 8 (2024)
       
  • Mechanism of multistability in chaotic maps

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      First page: 083102
      Abstract: This research aims to investigate the mechanisms of multistability in chaotic maps. The study commences by examining the fundamental principles governing the development of homogeneous multistability using a basic one-dimensional chain-climbing map. Findings suggest that the phase space can be segmented into distinct uniform mediums where particles exhibit consistent movement. As critical parameter values are reached, channels emerge between these mediums, resulting in deterministic chaotic diffusion. Additionally, the study delves into the topic of introducing heterogeneous factors on the formation of heterogeneous multistability in the one-dimensional map. A thorough examination of phenomena such as multistate intermittency highlights the intimate connection between specific phase transition occurrences and channel formation. Finally, by analyzing two instances—a memristive chaotic map and a hyperchaotic map—the underlying factors contributing to the emergence of multistability are scrutinized. This study offers an alternative perspective for verifying the fundamental principles of homogenous and heterogeneous multistability in complex high-dimensional chaotic maps.
      PubDate: Thu, 01 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0219361
      Issue No: Vol. 34, No. 8 (2024)
       
  • Estimation of Carleman operator from a univariate time series

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      First page: 083103
      Abstract: Reconstructing a nonlinear dynamical system from empirical time series is a fundamental task in data-driven analysis. One of the main challenges is the existence of hidden variables; we only have records for some variables, and those for hidden variables are unavailable. In this work, the techniques for Carleman linearization, phase-space embedding, and dynamic mode decomposition are integrated to rebuild an optimal dynamical system from time series for one specific variable. Using the Takens theorem, the embedding dimension is determined, which is adopted as the dynamical system’s dimension. The Carleman linearization is then used to transform this finite nonlinear system into an infinite linear system, which is further truncated into a finite linear system using the dynamic mode decomposition technique. We illustrate the performance of this integrated technique using data generated by the well-known Lorenz model, the Duffing oscillator, and empirical records of electrocardiogram, electroencephalogram, and measles outbreaks. The results show that this solution accurately estimates the operators of the nonlinear dynamical systems. This work provides a new data-driven method to estimate the Carleman operator of nonlinear dynamical systems.
      PubDate: Thu, 01 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0209612
      Issue No: Vol. 34, No. 8 (2024)
       
  • Memory and target payoff enhance cooperation in evolutionary social
           dilemmas

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      First page: 083104
      Abstract: We proposed a neighbor selection mechanism based on memory and target payoff, where the target payoff is the maximum value of the group’s average expected payoff. According to this mechanism, individuals prioritize selecting neighbors whose average payoffs in the last M rounds are close to the target payoff for strategy learning, aiming to maximize the group’s expected payoff. Simulation results on the grid-based Prisoner’s Dilemma and Snowdrift games demonstrate that this mechanism can significantly improve the group’s payoff and cooperation level. Furthermore, the longer the memory length, the higher the group’s payoff and cooperation level. Overall, the combination of memory and target payoff can lead to the emergence and persistence of cooperation in social dilemmas as individuals are motivated to cooperate based on both their past experiences and future goals. This interplay highlights the significance of taking into account numerous variables in comprehending and promoting cooperation within evolutionary frameworks.
      PubDate: Thu, 01 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0220490
      Issue No: Vol. 34, No. 8 (2024)
       
  • Quasi-critical dynamics in large-scale social systems regulated by sudden
           events

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      First page: 083105
      Abstract: How do heterogeneous individual behaviors arise in response to sudden events and how do they shape large-scale social dynamics' Based on a five-year naturalistic observation of individual purchasing behaviors, we extract the long-term consumption dynamics of diverse commodities from approximately 2.2 million purchase orders. We subdivide the consumption dynamics into trend, seasonal, and random components and analyze them using a renormalization group. We discover that the coronavirus pandemic, a sudden event acting on the social system, regulates the scaling and criticality of consumption dynamics. On a large time scale, the long-term dynamics of the system, regardless of arising from trend, seasonal, or random individual behaviors, is pushed toward a quasi-critical region between independent (i.e., the consumption behaviors of different commodities are irrelevant) and correlated (i.e., the consumption behaviors of different commodities are interrelated) phases as the pandemic erupts. On a small time scale, short-term consumption dynamics exhibits more diverse responses to the pandemic. While the trend and random behaviors of individuals are driven to quasi-criticality and exhibit scale-invariance as the pandemic breaks out, seasonal behaviors are more robust against regulations. Overall, these discoveries provide insights into how quasi-critical macroscopic dynamics emerges in heterogeneous social systems to enhance system reactivity to sudden events while there may exist specific system components maintaining robustness as a reflection of system stability.
      PubDate: Thu, 01 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0218422
      Issue No: Vol. 34, No. 8 (2024)
       
  • Stability, bifurcation, and chaos in a class of scalar quartic polynomial
           delay systems

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      First page: 083107
      Abstract: In this paper, a class of scalar quartic polynomial delay systems is investigated. We found rich dynamics in this system through numerical simulation, including chaotic attractors, chaotic saddles, and intermittent chaos. Moreover, this chaotic quartic system may serve as an approximation, through Taylor expansion, for a wide class of scalar delay differential equations. Thus, these nonlinear systems may exhibit chaotic behaviors, and the studies in our paper may provide an insight into the emergence of chaos in other time-delay nonlinear systems. We also conduct a detailed theoretical analysis of the system, including the stability of equilibria and Hopf bifurcation analysis based on the theory of normal form and center manifold. Additionally, a numerical analysis is provided to give numerical evidence for the existence of chaos.
      PubDate: Fri, 09 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0208714
      Issue No: Vol. 34, No. 8 (2024)
       
  • Systematic soliton shape modulation by engineering superposed plane wave
           and soliton parameters

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      First page: 083108
      Abstract: We investigate the linear interference of a plane wave with different localized waves using the coupled Fokas–Lenells equation (FLE) with four-wave mixing term. We obtain the localized wave solution of the coupled FLE by linear superposition of two distinctly independent wave solutions, namely, the plane wave and one soliton solution and the plane wave and two soliton solution. We obtain several nonlinear profiles depending on the relative phase induced by soliton parameters. We present a systematic analysis of the linear interference profile under four different conditions on the spatial and temporal phase coefficients of interfering waves. We further investigate the interaction of two soliton solution and a plane wave. In this case, we find that, asymptotically, two soliton profiles may be similar or different from each other depending on the choices of soliton parameters in the two cases. The present analysis may also be applied to study the linear interference pattern of other localized waves. We believe that the results obtained by us shall be useful in soliton control, all-optical switching, and optical computing.
      PubDate: Fri, 09 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0218438
      Issue No: Vol. 34, No. 8 (2024)
       
  • Martingale solutions and asymptotic behaviors for a stochastic
           cross-diffusion three-species food chain model with prey-taxis

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      First page: 083109
      Abstract: The stochastic food chain model is an important model within the field of ecological research. Since existing models are difficult to describe the influence of cross-diffusion and random factors on the evolution of species populations, this work is concerned with a stochastic cross-diffusion three-species food chain model with prey-taxis, in which the direction of predators’ movement is opposite to the gradient of prey, i.e., a higher density of prey. The existence and uniqueness of martingale solutions are established in a Hilbert space by using the stochastic Galerkin approximation method, the tightness criterion, Jakubowski’s generalization of the Skorokhod theorem, and the Vitali convergence theorem. Furthermore, asymptotic behaviors around the steady states of the stochastic cross-diffusion three-species food chain model in the time mean sense are investigated. Finally, numerical simulations are carried out to illustrate the results of our analysis.
      PubDate: Fri, 09 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0216350
      Issue No: Vol. 34, No. 8 (2024)
       
  • Temporal scaling theory for bursty time series with clusters of
           arbitrarily many events

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      First page: 083110
      Abstract: Long-term temporal correlations in time series in a form of an event sequence have been characterized using an autocorrelation function that often shows a power-law decaying behavior. Such scaling behavior has been mainly accounted for by the heavy-tailed distribution of interevent times, i.e., the time interval between two consecutive events. Yet, little is known about how correlations between consecutive interevent times systematically affect the decaying behavior of the autocorrelation function. Empirical distributions of the burst size, which is the number of events in a cluster of events occurring in a short time window, often show heavy tails, implying that arbitrarily many consecutive interevent times may be correlated with each other. In the present study, we propose a model for generating a time series with arbitrary functional forms of interevent time and burst size distributions. Then, we analytically derive the autocorrelation function for the model time series. In particular, by assuming that the interevent time and burst size are power-law distributed, we derive scaling relations between power-law exponents of the autocorrelation function decay, interevent time distribution, and burst size distribution. These analytical results are confirmed by numerical simulations. Our approach helps to rigorously and analytically understand the effects of correlations between arbitrarily many consecutive interevent times on the decaying behavior of the autocorrelation function.
      PubDate: Fri, 09 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0219561
      Issue No: Vol. 34, No. 8 (2024)
       
  • On non-trivial hyperbolic sets and their bifurcations in families of
           diffeomorphisms of a two-dimensional torus

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      First page: 083111
      Abstract: We propose a simple model—two-parameter family of diffeomorphisms of a two-dimensional torus. Combining analytical and numerical methods, we find regions in the parameter plane such that each diffeomorphism of the family is hyperbolic and describe the structure of the corresponding hyperbolic sets. We also study bifurcations on the boundaries of these regions, which lead to the change of hyperbolicity type (from Anosov diffeomorphisms to DA-diffeomorphisms).
      PubDate: Fri, 09 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0211890
      Issue No: Vol. 34, No. 8 (2024)
       
  • Unraveling the importance of early awareness strategy on the dynamics of
           drug addiction using mathematical modeling approach

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      First page: 083112
      Abstract: A drug is any substance capable of altering the functioning of a person’s body and mind. In this paper, a deterministic nonlinear model was adapted to investigate the behavior of drug abuse and addiction that incorporates intervention in the form of awareness and rehabilitation. In the mathematical analysis part, the positivity and boundedness of the solution and the existence of drug equilibria have been ascertained, which shows that the model consists of two equilibria: a drug-free equilibrium and a drug endemic equilibrium point. The drug-free equilibrium was found to be both globally and locally asymptotically stable if the effective reproduction number is less than or equal to one ( R c ≤ 1). Furthermore, we were able to show the existence of a unique drug endemic equilibrium whenever R c > 1. Global asymptotic stability of a drug endemic equilibrium point has been ascertained using a nonlinear Lyapunov function of Go–Volterra type, which reveals that the drug endemic equilibrium point is globally asymptotically stable if an effective reproduction number is greater than unity and if there is an absence of a reversion rate of mended individuals (i.e., ω = 0). In addition, an optimal control problem was formulated to investigate the optimal strategy for curtailing the spread of the behavior using control variables. The control variables are massive awareness and rehabilitation intervention of both public and secret addicted individuals. The optimal control simulation shows that massive awareness control is the best to control drug addiction in a society. In sensitivity analysis section, the proportion of those who are exposed publicly shows to be a must sensitive parameter that can reduce the reproduction number, and the effective contact rate shows to be a must sensitive parameter to increase the reproduction number. Numerical simulations reveal that the awareness rate of exposed publicly and the rehabilitation rate of addicted publicly are very important parameters to control drug addiction in a society.
      PubDate: Wed, 14 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0203892
      Issue No: Vol. 34, No. 8 (2024)
       
  • Identifying optimal location for control of thermoacoustic instability
           through statistical analysis of saddle point trajectories

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      First page: 083113
      Abstract: We propose a framework of Lagrangian Coherent Structures (LCSs) to enable passive open-loop control of tonal sound generated during thermoacoustic instability. Experiments were performed in a laboratory-scale bluff-body stabilized turbulent combustor in the state of thermoacoustic instability. We use dynamic mode decomposition on the flow-field to identify dynamical regions where the acoustic frequency is dominant. We find that the separating shear layer from the backward-facing step of the combustor envelops a cylindrical vortex in the outer recirculation zone, which eventually impinges on the top wall of the combustor during thermoacoustic instability. We track the saddle points in this shear layer emerging from the backward-facing step over several acoustic cycles. A passive control strategy is then developed by injecting a steady stream of secondary air targeting the identified optimal location where the saddle points spend a majority of their time in a statistical sense. After implementing the control action, the resultant flow-field is also analyzed using LCS to understand the key differences in flow dynamics. We find that the shear layer emerging from the dump plane is deflected in a direction almost parallel to the axis of the combustor after the control action. This deflection, in turn, prevents the shear layer from enveloping the vortex and impinging on the combustor walls, resulting in a drastic reduction in the amplitude of the sound produced.
      PubDate: Wed, 14 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0175991
      Issue No: Vol. 34, No. 8 (2024)
       
  • Generalized N -rotor problems, synchronized subsystems, and associated
           solitons

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      First page: 083114
      Abstract: We consider systems of N particles interacting on the unit circle through 2 π-periodic potentials. An example is the N-rotor problem that arises as the classical limit of coupled Josephson junctions and for various energies is known to have a wide range of behaviors such as global chaos and ergodicity, together with families of periodic solutions and transitions from order to chaos. We focus here on selected initial values for generalized systems in which the second order Euler–Lagrange equations reduce to first order equations, which we show by example can describe an ensemble of oscillators with associated emergent phenomena such as synchronization. A specific case is that of the Kuramoto model with well-known synchronization properties. We further demonstrate the relation of these models to field theories in 1 + 1 dimensions that allow static kink solitons satisfying first order Bogomolny equations, well-known in soliton physics, which correspond to the first order equations of the generalized N-rotor models. For the nonlinear pendulum, for example, the first order equations define the separatrix in the phase portrait of the system and correspond to kink solitons in the sine-Gordon equation.
      PubDate: Wed, 14 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0216910
      Issue No: Vol. 34, No. 8 (2024)
       
  • A new four-dimensional chaotic system with rich transitional
           characteristics between dissipative and conservative

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      First page: 083115
      Abstract: The general form of the Hamiltonian function serves as the foundation for the creation of a new four-dimensional chaotic system in this study. We discover that the external excitation parameter d, the internal parameter a, and all initial values have a transforming influence on the system property. Additionally, the corresponding fractional-order chaotic system in accordance with the constructed four-dimensional chaotic system is proposed. It is found that as the order q rises, the system transforms gradually from a dissipative system to a conservative system. Multiple coexisting attraction flows based on the Hamiltonian energy magnitude are present in this dual-property chaotic system. The complexity analysis shows that the system has a high level of complexity. NIST test indicates that the chaotic sequences produced by this dual-property chaotic system exhibit good pseudo-randomness. Finally, a Digital Signal Processing-based hardware platform confirms the physical realizability of the system.
      PubDate: Wed, 14 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0205144
      Issue No: Vol. 34, No. 8 (2024)
       
  • Effect of individual activity level heterogeneity on disease spreading in
           higher-order networks

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      First page: 083116
      Abstract: The active state of individuals has a significant impact on disease spread dynamics. In addition, pairwise interactions and higher-order interactions coexist in complex systems, and the pairwise networks proved insufficient for capturing the essence of complex systems. Here, we propose a higher-order network model to study the effect of individual activity level heterogeneity on disease-spreading dynamics. Activity level heterogeneity radically alters the dynamics of disease spread in higher-order networks. First, the evolution equations for infected individuals are derived using the mean field method. Second, numerical simulations of artificial networks reveal that higher-order interactions give rise to a discontinuous phase transition zone where the coexistence of health and disease occurs. Furthermore, the system becomes more unstable as individual activity levels rise, leading to a higher likelihood of disease outbreaks. Finally, we simulate the proposed model on two real higher-order networks, and the results are consistent with the artificial networks and validate the inferences from theoretical analysis. Our results explain the underlying reasons why groups with higher activity levels are more likely to initiate social changes. Simultaneously, the reduction in group activity, characterized by measures such as “isolation,” emerges as a potent strategy for disease control.
      PubDate: Wed, 14 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0207855
      Issue No: Vol. 34, No. 8 (2024)
       
  • Fokker–Planck modeling of the stochastic dynamics of a Rijke tube

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      First page: 083117
      Abstract: We derive and numerically validate a low-order oscillator model to capture the stochastic dynamics of a prototypical thermoacoustic system (a Rijke tube) undergoing a subcritical Hopf bifurcation in the presence of additive noise. We find that on the fixed-point branch before the bifurcation, the system is dominated by the first duct mode, and the Fokker–Planck solution for the first Galerkin mode can adequately predict the stochastic dynamics of the overall system. We also find that this analytical framework predicts well the dominant mode on the limit-cycle branch, but underperforms in the hysteretic bistable zone where the role of nonlinearities is more pronounced. Besides offering new insights into stochastic thermoacoustic behavior, this study shows that an analytical framework based on the Fokker–Planck equation can facilitate the early detection of thermoacoustic instabilities in a Rijke-tube model subjected to noise.
      PubDate: Wed, 14 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0211656
      Issue No: Vol. 34, No. 8 (2024)
       
  • Dynamical integrity of the safe basins in a problem of forced escape

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      First page: 083118
      Abstract: This paper explores the use of the approximation of isolated resonance method for determining the safe basins (SBs) in the problem of escape from a potential well. This study introduces a novel approach to capture the location and shape of the SBs and establish their erosion profiles. This research highlights the concept of “true” safe basins, which remain invariant with phase shifts, a critical factor often faced in real-world applications. A cubic polynomial potential serves as the benchmark to illustrate the proposed method.
      PubDate: Wed, 14 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0205049
      Issue No: Vol. 34, No. 8 (2024)
       
  • Approximation of translation invariant Koopman operators for coupled
           non-linear systems

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      First page: 083119
      Abstract: Many physical systems exhibit translational invariance, meaning that the underlying physical laws are independent of the position in space. Data driven approximations of the infinite dimensional but linear Koopman operator of non-linear dynamical systems need to be physically informed in order to respect such physical symmetries. In the current work, we introduce a translation invariant extended dynamic mode decomposition (tieDMD) for coupled non-linear systems on periodic domains. This is achieved by exploiting a block-diagonal structure of the Koopman operator in Fourier space. Variants of tieDMD are applied to data obtained on one-dimensional periodic domains from the non-linear phase-diffusion equation, the Burgers equation, the Korteweg–de Vries equation, and a coupled FitzHugh–Nagumo system of partial differential equations. The reconstruction capability of tieDMD is compared to existing linear and non-linear variants of the dynamic mode decomposition applied to the same data. For the regarded data, tieDMD consistently shows superior capabilities in data reconstruction.
      PubDate: Wed, 14 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0212620
      Issue No: Vol. 34, No. 8 (2024)
       
  • A hyper-distance-based method for hypernetwork comparison

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      First page: 083120
      Abstract: Hypernetwork is a useful way to depict multiple connections between nodes, making it an ideal tool for representing complex relationships in network science. In recent years, there has been a marked increase in studies on hypernetworks; however, the comparison of the difference between two hypernetworks has received less attention. This paper proposes a hyper-distance (HD)-based method for comparing hypernetworks. The method is based on higher-order information, i.e, the higher-order distance between nodes and Jensen–Shannon divergence. Experiments carried out on synthetic hypernetworks have shown that HD is capable of distinguishing between hypernetworks generated with different parameters, and it is successful in the classification of hypernetworks. Furthermore, HD outperforms current state-of-the-art baselines to distinguish empirical hypernetworks when hyperedges are randomly perturbed.
      PubDate: Thu, 15 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0221267
      Issue No: Vol. 34, No. 8 (2024)
       
  • Coupling dynamics of locally active memristor based neurons

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      First page: 083121
      Abstract: Brain-like dynamics require third-order or higher-order complexity. In order to investigate the coupling neuromorphic behaviors of identical third-order memristive neurons, this paper begins with the aim of exploring two identical neuron based dynamics under distinct operating regimes and coupling strengths. Without coupling, the single neuron can exhibit resting states, periodic spikes, or chaos depending on the bias condition. The uncoupled resting neurons can be activated by resistive coupling, inducing inhomogeneous resting states (static Smale paradox) and inhomogeneous spikes (dynamic Smale paradox) due to the edge of chaos regime. Considering the single neuron at the periodic spikes or chaotic states, the coupled neurons can mimic shocking oscillation death, non-periodic asynchronization, and periodic synchronization via the Hopf bifurcation theory. From the above analyses, an artificial ring neural network is constructed using 100 memristive neurons and resistive synapses to further study the coupled mechanism, generating exotic spatiotemporal patterns such as chimera death, amplitude chimera, solitary states, and asynchronization because of symmetry breaking. This sheds new light on exploring exotic spatiotemporal patterns of networks based on memristive neurons from the perspective of the nonlinear circuit theory.
      PubDate: Thu, 15 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0219075
      Issue No: Vol. 34, No. 8 (2024)
       
  • Detection of minimal extended driver nodes in energetic costs reduction

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      First page: 083122
      Abstract: Structures of complex networks are fundamental to system dynamics, where node state and connectivity patterns determine the cost of a control system, a key aspect in unraveling complexity. However, minimizing the energy required to control a system with the fewest input nodes remains an open problem. This study investigates the relationship between the structure of closed-connected function modules and control energy. We discovered that small structural adjustments, such as adding a few extended driver nodes, can significantly reduce control energy. Thus, we propose MInimal extended driver nodes in Energetic costs Reduction (MIER). Next, we transform the detection of MIER into a multi-objective optimization problem and choose an NSGA-II algorithm to solve it. Compared with the baseline methods, NSGA-II can approximate the optimal solution to the greatest extent. Through experiments using synthetic and real data, we validate that MIER can exponentially decrease control energy. Furthermore, random perturbation tests confirm the stability of MIER. Subsequently, we applied MIER to three representative scenarios: regulation of differential expression genes affected by cancer mutations in the human protein–protein interaction network, trade relations among developed countries in the world trade network, and regulation of body-wall muscle cells by motor neurons in Caenorhabditis elegans nervous network. The results reveal that the involvement of MIER significantly reduces control energy required for these original modules from a topological perspective. Additionally, MIER nodes enhance functionality, supplement key nodes, and uncover potential mechanisms. Overall, our work provides practical computational tools for understanding and presenting control strategies in biological, social, and neural systems.
      PubDate: Thu, 15 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0214746
      Issue No: Vol. 34, No. 8 (2024)
       
  • Nonlinear comparative analysis of Greenland and Antarctica ice cores data

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      First page: 083123
      Abstract: We analyze the temperature time series of the EPICA Dome C ice cores in Antarctica and of the Greenland project, Summit, with durations of 800 000 and 248 000 years, respectively, with a recent mathematical tool defined through the Fourier phases of the series, known as the J-index. This data driven index can differentiate between purely random dynamics and dynamics with a deterministic component. It is sensitive to nonlinear components and robust to the presence of noise. Our J-index data analysis shows that both Greenland and Antarctica climatic fluctuations possess deterministic traits and suggests the presence of an underlying nonlinear dynamics. Furthermore, in both regions, it reveals the simultaneous occurrence of an important global event known as the “Pelukian transgression.” For Antarctica, it also detects the marine isotopic stage 11. Additionally, our calculation of the time series Hurst exponents and our detrended fluctuation analysis show the presence of long-range persistent correlations for Antarctica and anti-persistent correlations for Greenland. For the latter case, our fractal dimension determinations are indicative of a more complex climatic dynamics in Greenland with respect to Antarctica. Our results are encouraging for further development of climate variability deterministic models for these regions.
      PubDate: Thu, 15 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0206846
      Issue No: Vol. 34, No. 8 (2024)
       
  • Statistics of punctuation in experimental literature—The remarkable case
           of Finnegans Wake by James Joyce

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      First page: 083124
      Abstract: As the recent studies indicate, the structure imposed onto written texts by the presence of punctuation develops patterns which reveal certain characteristics of universality. In particular, based on a large collection of classic literary works, it has been evidenced that the distances between consecutive punctuation marks, measured in terms of the number of words, obey the discrete Weibull distribution—a discrete variant of a distribution often used in survival analysis. The present work extends the analysis of punctuation usage patterns to more experimental pieces of world literature. It turns out that the compliance of the the distances between punctuation marks with the discrete Weibull distribution typically applies here as well. However, some of the works by James Joyce are distinct in this regard—in the sense that the tails of the relevant distributions are significantly thicker and, consequently, the corresponding hazard functions are decreasing functions not observed in typical literary texts in prose. Finnegans Wake—the same one to which science owes the word quarks for the most fundamental constituents of matter—is particularly striking in this context. At the same time, in all the studied texts, the sentence lengths—representing the distances between sentence-ending punctuation marks—reveal more freedom and are not constrained by the discrete Weibull distribution. This freedom in some cases translates into long-range nonlinear correlations, which manifest themselves in multifractality. Again, a text particularly spectacular in terms of multifractality is Finnegans Wake.
      PubDate: Tue, 20 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0203530
      Issue No: Vol. 34, No. 8 (2024)
       
  • Skew-product attractors of non-autonomous Caputo fractional differential
           equations

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      First page: 083125
      Abstract: A non-autonomous Caputo fractional differential equation (FDE) of order α ∈ ( 0 , 1 ) in R d with a driving system on a compact base space P is shown to generate a skew-product semi-flow on C α × P, where C α is the space of continuous functions f : R + → R d with a weighted norm giving uniform convergence on compact time subsets. This skew-product semi-flow is then shown to have a bounded and closed attractor when the vector field of the Caputo FDE satisfies a uniform dissipativity condition. It attracts bounded sets of constant initial functions f in here C α. The properties and structure of this attractor in C α × P are also discussed.
      PubDate: Mon, 19 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0214041
      Issue No: Vol. 34, No. 8 (2024)
       
  • Spiral organization of quasi-periodic shrimp-shaped domains in a discrete
           predator–prey system

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      First page: 083126
      Abstract: In this paper, we report the discovery of some novel dynamical scenarios for quasi-periodic shrimp-shaped structures embedded within chaotic phases in bi-parameter space of a discrete predator–prey system. By constructing high-resolution, two-dimensional stability diagrams based on Lyapunov exponents, we observe the abundance of both periodic and quasi-periodic shrimp-shaped organized domains in a certain parameter space of the system. A comprehensive comparative analysis is conducted to elucidate the similarities and differences between these two types of shrimps. Our analysis reveals that, unlike periodic shrimp, quasi-periodic shrimp induces (i) torus bubbling transition to chaos and (ii) multistability with multi-tori, torus-chaotic, and multi-chaotic coexisting attractors, resulting from the crossing of its two inner antennae. The basin sets of the coexisting attractors are analyzed, and we observe the presence of intriguing basin boundaries. We also verify that, akin to periodic shrimp structures, quasi-periodic shrimps also maintain the three-times self-similarity scaling. Furthermore, we encounter the occurrence of spiral organization for the self-distribution of quasi-periodic shrimps within a large chaotic domain. We believe that these novel findings will significantly enhance our understanding of shrimp-shaped structures and the intricate dynamics exhibited by their distribution in chaotic regimes.
      PubDate: Tue, 20 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0208457
      Issue No: Vol. 34, No. 8 (2024)
       
  • Dynamic behaviors of far and near memristive electromagnetic induction in
           spoon neural network

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      First page: 083127
      Abstract: In this paper, a special spoon neural network is proposed, which is composed of four neurons with direct connection and indirect connection. On this basis, the far induction network and the near induction network (NINN) are constructed by using hyperbolic tangent memristors to explore the influence of electromagnetic induction between neurons at different positions on the dynamic behavior of attractors. NINN exhibits more complex attractor structures and wider chaotic parameters, and also displays a heterogeneous coexisting attractor of limit cycles and chaos under network parameter control. By varying the parameters, coexisting chaotic attractors can be synthesized into a double scrolls attractor, and their oscillation amplitude can be controlled without changing the chaotic characteristics. The type of attractors in human brain determines the clarity of memory. These complex dynamic behaviors demonstrate that near induction has a more pronounced effect on the forgetting and disappearance of memory compared to far induction. Finally, a circuit using switches to change the type of electromagnetic induction is constructed and the results are verified.
      PubDate: Tue, 20 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0216108
      Issue No: Vol. 34, No. 8 (2024)
       
  • Channel assisted noise propagation in a two-step cascade

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      First page: 083128
      Abstract: Signal propagation in biochemical networks is characterized by the inherent randomness in gene expression and fluctuations of the environmental components, commonly known as intrinsic and extrinsic noise, respectively. We present a theoretical framework for noise propagation in a generic two-step cascade (S →X →Y) regarding intrinsic and extrinsic noise. We identify different channels of noise transmission that regulate the individual and the overall noise properties of each component. Our analysis shows that the intrinsic noise of S alleviates the general noise and information transmission capacity along the cascade. On the other hand, the intrinsic noise of X and Y acts as a bottleneck of information transmission. We also show a hierarchical relationship among the intrinsic noise levels of S, X, and Y, with S exhibiting the highest level of intrinsic noise, followed by X and then Y. This hierarchy is preserved within the two-step cascade, facilitating the highest information transmission from S to Y via X.
      PubDate: Tue, 20 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0208543
      Issue No: Vol. 34, No. 8 (2024)
       
  • Classification of cellular automata based on the Hamming distance

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      First page: 083129
      Abstract: Elementary cellular automata are the simplest form of cellular automata, studied extensively by Wolfram in the 1980s. He discovered complex behavior in some of these automata and developed a classification for all cellular automata based on their phenomenology. In this paper, we present an algorithm to classify them more effectively by measuring difference patterns using the Hamming distance. Our classification aligns with Wolfram’s and further categorizes them into additional subclasses. Finally, we have found a heuristic reasoning providing and explanation about why some rules evolve into fractal patterns.
      PubDate: Wed, 21 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0227349
      Issue No: Vol. 34, No. 8 (2024)
       
  • Partial tipping in bistable ecological systems under periodic
           environmental variability

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      First page: 083130
      Abstract: Periodic environmental variability is a common source affecting ecosystems and regulating their dynamics. This paper investigates the effects of periodic variation in species growth rate on the population dynamics of three bistable ecological systems. The first is a one-dimensional insect population model with coexisting outbreak and refuge equilibrium states, the second one describes two-species predator–prey interactions with extinction and coexistence states, and the third one is a three-species food chain model where chaotic and limit cycle states may coexist. We demonstrate with numerical simulations that a periodic variation in species growth rate may cause switching between two coexisting attractors without crossing any bifurcation point. Such a switchover occurs only for a specific initial population density close to the basin boundary, leading to partial tipping if the frozen system is non-chaotic. Partial tipping may also occur for some initial points far from the basin boundary if the frozen system is chaotic. Interestingly, the probability of tipping shows a frequency response with a maximum for a specific frequency of periodic forcing, as noticed for equilibrium and non-equilibrium limit cycle systems. The findings suggest that unexpected outbreaks or abrupt declines in population density may occur due to time-dependent variations in species growth parameters. Depending on the selective frequency of the periodic environmental variation, this may lead to species extinction or help the species to survive.
      PubDate: Fri, 23 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0215157
      Issue No: Vol. 34, No. 8 (2024)
       
  • Realization of logic gates in bi-directionally coupled nonlinear
           oscillators

    • Free pre-print version: Loading...

      First page: 083131
      Abstract: Implementation of logic gates has been investigated in nonlinear dynamical systems from various perspectives over the years. Specifically, logic gates have been implemented in both single nonlinear systems and coupled nonlinear oscillators. The majority of the works in the literature have been done on the evolution of single oscillators into OR/AND or NOR/NAND logic gates. In the present study, we demonstrate the design of logic gates in bi-directionally coupled double-well Duffing oscillators by applying two logic inputs to the drive system alone along with a fixed bias. The nonlinear system, comprising both bi-directional components, exhibits varied logic behaviors within an optimal range of coupling strength. Both attractive and repulsive couplings yield similar and complementary logic behaviors in the first and second oscillators. These couplings play a major role in exhibiting fundamental and universal logic gates in simple nonlinear systems. Under a positive bias, both the first and second oscillators demonstrate OR logic gate for the attractive coupling, while exhibiting OR and NOR logic gates, respectively, for the repulsive coupling. Conversely, under a negative bias, both the first and second oscillators display AND logic gate for the attractive coupling, and AND and NAND logical outputs for the repulsive coupling. Furthermore, we confirm the robustness of the bi-directional oscillators against moderate noise in maintaining the desired logical outputs.
      PubDate: Fri, 23 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0217881
      Issue No: Vol. 34, No. 8 (2024)
       
  • Transient modes for the coupled modified Korteweg–de Vries equations
           

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      First page: 083132
      Abstract: Dynamics and properties of breathers for the modified Korteweg–de Vries equations with negative cubic nonlinearities are studied. While breathers and rogue waves are absent in a single component waveguide for the negative nonlinearity case, coupling can induce regimes of modulation instabilities. Such instabilities are correlated with the existence of rogue waves and breathers. Similar scenarios have been demonstrated previously for coupled systems of nonlinear Schrödinger and Hirota equations. Both real- and complex-valued modified Korteweg–de Vries equations will be treated, which are applicable to stratified fluids and optical waveguides, respectively. One special family of breathers for coupled, complex-valued equations is derived analytically. Robustness and stability of breathers are studied computationally. Knowledge of the growth rates of modulation instability of plane waves provides an instructive prelude on the robustness of breathers to deterministic perturbations. A theoretical formulation of the linear instability of breathers will involve differential equations with periodic coefficient, i.e., a Floquet analysis. Breathers associated with larger eigenvalues of the monodromy matrix tend to suffer greater instability and increased tendency of distortion. Predictions based on modulation instability and Floquet analysis show excellent agreements. The same trend is obtained for simulations conducted with random noise disturbances. Linear approaches like modulation instabilities and Floquet analysis, thus, generate a very illuminating picture of the nonlinear dynamics.
      PubDate: Fri, 23 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0223458
      Issue No: Vol. 34, No. 8 (2024)
       
  • On α -chaotic points and chaotic (antichaotic) families of functions

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      First page: 083133
      Abstract: In this paper, a new definition of the entropy of functions and α-entropy points ( α ≥ 1) will be introduced. These concepts will be used to explore the possibility of internal disruptions (introducing a virus in the phase space) in order to receive an α-chaotic point.
      PubDate: Fri, 23 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0179463
      Issue No: Vol. 34, No. 8 (2024)
       
  • Unfolding the distribution of periodicity regions and diversity of chaotic
           attractors in the Chialvo neuron map

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      First page: 083134
      Abstract: We performed an exhaustive numerical analysis of the two-dimensional Chialvo map by obtaining the parameter planes based on the computation of periodicities and Lyapunov exponents. Our results allowed us to determine the different regions of dynamical behavior, identify regularities in the distribution of periodicities in regions indicating regular behavior, find some pseudofractal structures, identify regions such as the “eyes of chaos” similar to those obtained in parameter planes of continuous systems, and, finally, characterize the statistical properties of chaotic attractors leading to possible hyperchaotic behavior.
      PubDate: Fri, 23 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0214903
      Issue No: Vol. 34, No. 8 (2024)
       
  • Dynamical analysis of a novel 2D Lyapunov exponent controllable memristive
           chaotic map

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      First page: 083135
      Abstract: The proposal of discrete memristors has made memristive chaotic maps based on them an important research topic. In this study, a new two-dimensional chaotic map without fixed points is constructed, and numerical simulation results display its rich dynamical behaviors. The analysis reveals the map's center inversion symmetry and Lyapunov exponent controller. The map exhibits complex dynamical behaviors, including memristor initial-boosting and single-parameter-offset boosting. Embedding the absolute value function within the memristor results in the emergence of localized boosting-free regions. Moreover, a class of multicavity transients is captured that greatly enhances the system's complexity. Ultimately, this map is implemented on the STM32 platform, demonstrating its practical applicability in potential practical application scenarios.
      PubDate: Fri, 23 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0187297
      Issue No: Vol. 34, No. 8 (2024)
       
  • Cooperation dynamics of prisoner's dilemma games on an evolutionary
           weighted network with heterogeneous preferences

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      First page: 083136
      Abstract: Relationships between people in real life are dynamically changed with the interaction process, and due to the heterogeneous preferences, this change is different from person to person. Based on this observation, we propose a new spatial and weighted prisoner's dilemma game model with heterogeneous individuals. Two types of tags, namely, tag-F (concerned about social fairness) and tag-W (concerned about personal well-being), are introduced to describe individuals’ different preferences. The link weights indicating the interaction strength between individuals are updated based on different rules that depend on their tags. Through simulations, we verify that a large link weight control factor and a high proportion of tag-F individuals favor the emergence and persistence of cooperation. In addition, an increase in the link weight sensitivity factor favors the evolution of cooperation when the link weight control factor is small. Moreover, while the level of cooperation increases with the proportion of tag-F type in the population, contrary to our intuition, when the population consists entirely of tag-F individuals, in some cases, cooperation cannot reach a higher level compared with the situation when they are mixed with tag-W type. However, at high dilemma intensities, cooperators emerge only when the entire population consists of tag-F type. These results may provide some new insights into the impact of the evolutionary weighted network with heterogeneous preferences on collective cooperative behavior.
      PubDate: Fri, 23 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0224176
      Issue No: Vol. 34, No. 8 (2024)
       
  • Can specific THz fields induce collective base-flipping in DNA' A
           stochastic averaging and resonant enhancement investigation based on a new
           mesoscopic model

    • Free pre-print version: Loading...

      First page: 083137
      Abstract: We study the metastability, internal frequencies, activation mechanism, energy transfer, and the collective base-flipping in a mesoscopic DNA via resonance with specific electric fields. Our new mesoscopic DNA model takes into account not only the issues of helicity and the coupling of an electric field with the base dipole moments, but also includes environmental effects, such as fluid viscosity and thermal noise. Also, all the parameter values are chosen to best represent the typical values for the opening and closing dynamics of a DNA. Our study shows that while the mesoscopic DNA is metastable and robust to environmental effects, it is vulnerable to certain frequencies that could be targeted by specific THz fields for triggering its collective base-flipping dynamics and causing large amplitude separation of base pairs. Based on applying the Freidlin–Wentzell method of stochastic averaging and the newly developed theory of resonant enhancement to our mesoscopic DNA model, our semi-analytic estimates show that the required fields should be THz fields with frequencies around 0.28 THz and with amplitudes in the order of 450 kV/cm. These estimates compare well with the experimental data of Titova et al., which have demonstrated that they could affect the function of DNA in human skin tissues by THz pulses with frequencies around 0.5 THz and with a peak electric field at 220 kV/cm. Moreover, our estimates also conform to a number of other experimental results, which appeared in the last couple years.
      PubDate: Fri, 23 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0208609
      Issue No: Vol. 34, No. 8 (2024)
       
  • Robustness of higher-order interdependent networks with reinforced nodes

    • Free pre-print version: Loading...

      First page: 083138
      Abstract: In reality, pairwise interactions are no longer sufficient to describe the higher-order interactions between nodes, such as brain networks, social networks, etc., which often contain groups of three or more nodes. Since the failure of one node in a high-order network can lead to the failure of all simplices in which it is located and quickly propagates to the whole system through the interdependencies between networks, multilayered high-order interdependent networks are challenged with high vulnerability risks. To increase the robustness of higher-order networks, in this paper, we proposed a theoretical model of a two-layer partial high-order interdependent network, where a proportion of reinforced nodes are introduced that can function and support their simplices and components, even losing connection with the giant component. We study the order parameter of the proposed model, including the giant component and functional components containing at least one reinforced node, via theoretical analysis and simulations. Rich phase transition phenomena can be observed by varying the density of 2-simplices and the proportion of the network’s reinforced nodes. Increasing the density of 2-simplices makes a double transition appear in the network. The proportion of reinforced nodes can alter the type of second transition of the network from discontinuous to continuous or transition-free, which is verified on the double random simplicial complex, double scale-free simplicial complex, and real-world datasets, indicating that reinforced nodes can significantly enhance the robustness of the network and can prevent networks from abrupt collapse. Therefore, the proposed model provides insights for designing robust interdependent infrastructure networks.
      PubDate: Fri, 23 Aug 2024 00:00:00 GMT
      DOI: 10.1063/5.0217876
      Issue No: Vol. 34, No. 8 (2024)
       
 
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Publisher: AIP   (Total: 28 journals)   [Sort alphabetically]

Showing 1 - 26 of 26 Journals sorted by number of followers
Physics Today     Hybrid Journal   (Followers: 76, SJR: 0.66, CiteScore: 1)
J. of Applied Physics     Hybrid Journal   (Followers: 69, SJR: 0.739, CiteScore: 2)
Physics of Fluids     Hybrid Journal   (Followers: 58, SJR: 1.19, CiteScore: 3)
Applied Physics Letters     Hybrid Journal   (Followers: 52, SJR: 1.382, CiteScore: 3)
J. of Chemical Physics     Hybrid Journal   (Followers: 37, SJR: 1.252, CiteScore: 2)
J. of Mathematical Physics     Hybrid Journal   (Followers: 26, SJR: 0.644, CiteScore: 1)
Review of Scientific Instruments     Hybrid Journal   (Followers: 21, SJR: 0.585, CiteScore: 1)
Applied Physics Reviews     Hybrid Journal   (Followers: 15, SJR: 4.156, CiteScore: 12)
J. of Laser Applications     Full-text available via subscription   (Followers: 14, SJR: 0.741, CiteScore: 2)
J. of Renewable and Sustainable Energy     Hybrid Journal   (Followers: 14, SJR: 0.44, CiteScore: 1)
Physics of Plasmas     Hybrid Journal   (Followers: 11, SJR: 0.576, CiteScore: 1)
Acoustics Today     Hybrid Journal   (Followers: 10)
APL Materials     Open Access   (Followers: 10, SJR: 1.63, CiteScore: 4)
AIP Advances     Open Access   (Followers: 7, SJR: 0.472, CiteScore: 1)
Biomicrofluidics     Open Access   (Followers: 6, SJR: 0.592, CiteScore: 2)
Structural Dynamics     Open Access   (Followers: 6, SJR: 1.625, CiteScore: 4)
Low Temperature Physics     Hybrid Journal   (Followers: 5, SJR: 0.264, CiteScore: 1)
Chaos : An Interdisciplinary J. of Nonlinear Science     Hybrid Journal   (Followers: 4, SJR: 0.716, CiteScore: 2)
J. of Physical and Chemical Reference Data     Hybrid Journal   (Followers: 3, SJR: 1.046, CiteScore: 3)
AIP Conference Proceedings     Full-text available via subscription   (Followers: 2)
Biointerphases     Open Access   (Followers: 1, SJR: 0.558, CiteScore: 2)
Chinese J. of Chemical Physics     Hybrid Journal   (Followers: 1, SJR: 0.24, CiteScore: 1)
Surface Science Spectra     Hybrid Journal   (Followers: 1, SJR: 0.416, CiteScore: 1)
APL Photonics     Open Access   (Followers: 1)
Scilight     Full-text available via subscription  
APL Bioengineering     Open Access  
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