Subjects -> ENGINEERING (Total: 2791 journals)
    - CHEMICAL ENGINEERING (248 journals)
    - CIVIL ENGINEERING (242 journals)
    - ELECTRICAL ENGINEERING (176 journals)
    - ENGINEERING (1402 journals)
    - ENGINEERING MECHANICS AND MATERIALS (452 journals)
    - HYDRAULIC ENGINEERING (56 journals)
    - INDUSTRIAL ENGINEERING (100 journals)
    - MECHANICAL ENGINEERING (115 journals)

ENGINEERING (1402 journals)                  1 2 3 4 5 6 7 8 | Last

Showing 1 - 200 of 1205 Journals sorted alphabetically
3 Biotech     Open Access   (Followers: 2)
3D Research     Hybrid Journal   (Followers: 17)
AAPG Bulletin     Hybrid Journal   (Followers: 9)
Abstract and Applied Analysis     Open Access   (Followers: 1)
Aceh International Journal of Science and Technology     Open Access   (Followers: 3)
ACS Nano     Hybrid Journal   (Followers: 189)
Acta Geotechnica     Hybrid Journal   (Followers: 6)
Acta Metallurgica Sinica (English Letters)     Hybrid Journal   (Followers: 8)
Acta Nova     Open Access  
Acta Polytechnica : Journal of Advanced Engineering     Open Access  
Acta Universitatis Cibiniensis. Technical Series     Open Access   (Followers: 1)
Active and Passive Electronic Components     Open Access   (Followers: 5)
Additive Manufacturing Letters     Open Access   (Followers: 6)
Adsorption     Hybrid Journal   (Followers: 4)
Advanced Energy and Sustainability Research     Open Access   (Followers: 4)
Advanced Engineering Forum     Full-text available via subscription   (Followers: 10)
Advanced Engineering Research     Open Access  
Advanced Journal of Graduate Research     Open Access   (Followers: 1)
Advanced Quantum Technologies     Hybrid Journal   (Followers: 1)
Advanced Science     Open Access   (Followers: 12)
Advanced Science Focus     Free   (Followers: 5)
Advanced Science Letters     Full-text available via subscription   (Followers: 9)
Advanced Science, Engineering and Medicine     Partially Free   (Followers: 3)
Advanced Synthesis & Catalysis     Hybrid Journal   (Followers: 19)
Advanced Theory and Simulations     Hybrid Journal   (Followers: 2)
Advances in Applied Energy     Open Access   (Followers: 5)
Advances in Catalysis     Full-text available via subscription   (Followers: 7)
Advances in Complex Systems     Hybrid Journal   (Followers: 10)
Advances in Engineering Software     Hybrid Journal   (Followers: 25)
Advances in Fuzzy Systems     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 19)
Advances in Heat Transfer     Full-text available via subscription   (Followers: 27)
Advances in Natural Sciences : Nanoscience and Nanotechnology     Open Access   (Followers: 28)
Advances in Operations Research     Open Access   (Followers: 13)
Advances in OptoElectronics     Open Access   (Followers: 6)
Advances in Physics Theories and Applications     Open Access   (Followers: 12)
Advances in Polymer Science     Hybrid Journal   (Followers: 50)
Advances in Remote Sensing     Open Access   (Followers: 58)
Advances in Science and Research (ASR)     Open Access   (Followers: 8)
Aerobiologia     Hybrid Journal   (Followers: 2)
Aerospace Systems     Hybrid Journal   (Followers: 7)
African Journal of Science, Technology, Innovation and Development     Hybrid Journal   (Followers: 7)
AIChE Journal     Hybrid Journal   (Followers: 31)
Ain Shams Engineering Journal     Open Access   (Followers: 1)
Al-Nahrain Journal for Engineering Sciences     Open Access  
Al-Qadisiya Journal for Engineering Sciences     Open Access  
AL-Rafdain Engineering Journal     Open Access  
Alexandria Engineering Journal     Open Access   (Followers: 1)
AMB Express     Open Access   (Followers: 1)
American Journal of Applied Sciences     Open Access   (Followers: 21)
American Journal of Engineering and Applied Sciences     Open Access   (Followers: 7)
American Journal of Engineering Education     Open Access   (Followers: 13)
American Journal of Environmental Engineering     Open Access   (Followers: 6)
American Journal of Industrial and Business Management     Open Access   (Followers: 23)
Annals of Civil and Environmental Engineering     Open Access   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Pure and Applied Logic     Open Access   (Followers: 4)
Annals of Regional Science     Hybrid Journal   (Followers: 7)
Annals of Science     Hybrid Journal   (Followers: 9)
Annual Journal of Technical University of Varna     Open Access  
Antarctic Science     Hybrid Journal   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 3)
Applicable Analysis: An International Journal     Hybrid Journal   (Followers: 1)
Applications in Energy and Combustion Science     Open Access   (Followers: 2)
Applications in Engineering Science     Open Access  
Applied Catalysis A: General     Hybrid Journal   (Followers: 7)
Applied Catalysis B: Environmental     Hybrid Journal   (Followers: 9)
Applied Clay Science     Hybrid Journal   (Followers: 6)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 16)
Applied Energy     Partially Free   (Followers: 25)
Applied Engineering Letters     Open Access  
Applied Magnetic Resonance     Hybrid Journal   (Followers: 3)
Applied Nanoscience     Open Access   (Followers: 7)
Applied Network Science     Open Access   (Followers: 2)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 4)
Applied Physics Research     Open Access   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 5)
Arab Journal of Basic and Applied Sciences     Open Access  
Arabian Journal for Science and Engineering     Hybrid Journal   (Followers: 1)
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Archives of Foundry Engineering     Open Access  
Archives of Thermodynamics     Open Access   (Followers: 10)
Arctic     Open Access  
Arid Zone Journal of Engineering, Technology and Environment     Open Access  
ArtefaCToS : Revista de estudios sobre la ciencia y la tecnología     Open Access  
Asian Journal of Applied Science and Engineering     Open Access  
Asian Journal of Applied Sciences     Open Access   (Followers: 2)
Asian Journal of Biotechnology     Open Access   (Followers: 8)
Asian Journal of Control     Hybrid Journal  
Asian Journal of Technology Innovation     Hybrid Journal   (Followers: 5)
Assembly Automation     Hybrid Journal   (Followers: 2)
ATZagenda     Hybrid Journal  
ATZextra worldwide     Hybrid Journal  
AURUM : Mühendislik Sistemleri ve Mimarlık Dergisi = Aurum Journal of Engineering Systems and Architecture     Open Access   (Followers: 1)
Australasian Journal of Engineering Education     Hybrid Journal   (Followers: 3)
Australasian Physical & Engineering Sciences in Medicine     Hybrid Journal   (Followers: 1)
Australian Journal of Multi-Disciplinary Engineering     Hybrid Journal  
Autocracy : Jurnal Otomasi, Kendali, dan Aplikasi Industri     Open Access  
Automotive and Engine Technology     Hybrid Journal  
Automotive Experiences     Open Access  
Automotive Innovation     Hybrid Journal  
Avances en Ciencias e Ingenierías     Open Access  
Avances: Investigación en Ingeniería     Open Access  
Balkan Region Conference on Engineering and Business Education     Open Access   (Followers: 2)
Bangladesh Journal of Scientific and Industrial Research     Open Access  
Basin Research     Hybrid Journal   (Followers: 6)
Batteries     Open Access   (Followers: 8)
Batteries & Supercaps     Hybrid Journal   (Followers: 5)
Bautechnik     Hybrid Journal   (Followers: 1)
Bell Labs Technical Journal     Hybrid Journal   (Followers: 27)
Beni-Suef University Journal of Basic and Applied Sciences     Open Access  
Beyond : Undergraduate Research Journal     Open Access  
Bhakti Persada : Jurnal Aplikasi IPTEKS     Open Access  
Bharatiya Vaigyanik evam Audyogik Anusandhan Patrika (BVAAP)     Open Access  
Bilge International Journal of Science and Technology Research     Open Access   (Followers: 1)
Biointerphases     Open Access   (Followers: 1)
Biomaterials Science     Hybrid Journal   (Followers: 11)
Biomedical Engineering     Hybrid Journal   (Followers: 11)
Biomedical Engineering Letters     Hybrid Journal   (Followers: 3)
Biomedical Engineering: Applications, Basis and Communications     Hybrid Journal   (Followers: 4)
Biomedical Microdevices     Hybrid Journal   (Followers: 8)
Biomedical Science and Engineering     Open Access   (Followers: 4)
Biomicrofluidics     Open Access   (Followers: 7)
Biotechnology Progress     Hybrid Journal   (Followers: 42)
Black Sea Journal of Engineering and Science     Open Access  
Botswana Journal of Technology     Full-text available via subscription   (Followers: 1)
Boundary Value Problems     Open Access  
Bulletin of Canadian Petroleum Geology     Full-text available via subscription   (Followers: 12)
Bulletin of Engineering Geology and the Environment     Hybrid Journal   (Followers: 15)
Cahiers Droit, Sciences & Technologies     Open Access   (Followers: 1)
Calphad     Hybrid Journal  
Canadian Geotechnical Journal     Hybrid Journal   (Followers: 28)
Canadian Journal of Remote Sensing     Full-text available via subscription   (Followers: 51)
Carbon Resources Conversion     Open Access   (Followers: 2)
Carpathian Journal of Electronic and Computer Engineering     Open Access  
Case Studies in Thermal Engineering     Open Access   (Followers: 9)
Catalysis Communications     Hybrid Journal   (Followers: 7)
Catalysis Letters     Hybrid Journal   (Followers: 3)
Catalysis Reviews: Science and Engineering     Hybrid Journal   (Followers: 9)
Catalysis Science and Technology     Hybrid Journal   (Followers: 9)
Catalysis Surveys from Asia     Hybrid Journal   (Followers: 4)
Catalysis Today     Hybrid Journal   (Followers: 4)
CEAS Space Journal     Hybrid Journal   (Followers: 6)
Cell Reports Physical Science     Open Access  
Cellular and Molecular Neurobiology     Hybrid Journal   (Followers: 2)
CFD Letters     Open Access   (Followers: 7)
Chaos : An Interdisciplinary Journal of Nonlinear Science     Hybrid Journal   (Followers: 3)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 1)
Chaos, Solitons & Fractals : X     Open Access   (Followers: 1)
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Engineering     Open Access   (Followers: 1)
Chinese Journal of Population, Resources and Environment     Open Access  
Chinese Science Bulletin     Open Access  
Ciencia e Ingenieria Neogranadina     Open Access  
Ciencia en su PC     Open Access   (Followers: 1)
Ciencia y Tecnología     Open Access  
Ciencias Holguin     Open Access   (Followers: 1)
CienciaUAT     Open Access  
Cientifica     Open Access  
CIRP Annals - Manufacturing Technology     Hybrid Journal   (Followers: 10)
CIRP Journal of Manufacturing Science and Technology     Hybrid Journal   (Followers: 12)
City, Culture and Society     Hybrid Journal   (Followers: 23)
Clay Minerals     Hybrid Journal   (Followers: 7)
Cleaner Engineering and Technology     Open Access   (Followers: 4)
Cleaner Environmental Systems     Open Access   (Followers: 4)
Coastal Engineering     Hybrid Journal   (Followers: 16)
Coastal Engineering Journal     Hybrid Journal   (Followers: 7)
Coastal Engineering Proceedings : Proceedings of the International Conference on Coastal Engineering     Open Access   (Followers: 1)
Coastal Management     Hybrid Journal   (Followers: 29)
Coatings     Open Access   (Followers: 2)
Cogent Engineering     Open Access   (Followers: 1)
Cognitive Computation     Hybrid Journal   (Followers: 2)
Color Research & Application     Hybrid Journal   (Followers: 1)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 18)
Combustion, Explosion, and Shock Waves     Hybrid Journal   (Followers: 21)
Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering     Open Access  
Communications in Numerical Methods in Engineering     Hybrid Journal   (Followers: 2)
Components, Packaging and Manufacturing Technology, IEEE Transactions on     Hybrid Journal   (Followers: 27)
Composite Interfaces     Hybrid Journal   (Followers: 6)
Composite Structures     Hybrid Journal   (Followers: 245)
Composites Part A : Applied Science and Manufacturing     Hybrid Journal   (Followers: 179)
Composites Part B : Engineering     Hybrid Journal   (Followers: 224)
Composites Part C : Open Access     Open Access   (Followers: 1)
Composites Science and Technology     Hybrid Journal   (Followers: 151)
Comptes Rendus : Mécanique     Open Access   (Followers: 2)
Computation     Open Access   (Followers: 1)
Computational Geosciences     Hybrid Journal   (Followers: 17)
Computational Optimization and Applications     Hybrid Journal   (Followers: 9)
Computer Applications in Engineering Education     Hybrid Journal   (Followers: 6)
Computer Science and Engineering     Open Access   (Followers: 15)
Computers & Geosciences     Hybrid Journal   (Followers: 29)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 8)
Computers and Electronics in Agriculture     Hybrid Journal   (Followers: 7)
Computers and Geotechnics     Hybrid Journal   (Followers: 11)
Computing and Visualization in Science     Hybrid Journal   (Followers: 6)
Computing in Science & Engineering     Full-text available via subscription   (Followers: 31)
Conciencia Tecnologica     Open Access  
Continuum Mechanics and Thermodynamics     Hybrid Journal   (Followers: 8)
Control Engineering Practice     Hybrid Journal   (Followers: 46)

        1 2 3 4 5 6 7 8 | Last

Similar Journals
Journal Cover
Chaos : An Interdisciplinary Journal of Nonlinear Science
Journal Prestige (SJR): 0.716
Citation Impact (citeScore): 2
Number of Followers: 3  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1054-1500 - ISSN (Online) 1089-7682
Published by AIP Homepage  [27 journals]
  • Inferring network structure with unobservable nodes from time series data

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      Authors: Mengyuan Chen, Yan Zhang, Zhang Zhang, Lun Du, Shuo Wang, Jiang Zhang
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      Network structures play important roles in social, technological, and biological systems. However, the observable nodes and connections in real cases are often incomplete or unavailable due to measurement errors, private protection issues, or other problems. Therefore, inferring the complete network structure is useful for understanding human interactions and complex dynamics. The existing studies have not fully solved the problem of the inferring network structure with partial information about connections or nodes. In this paper, we tackle the problem by utilizing time series data generated by network dynamics. We regard the network inference problem based on dynamical time series data as a problem of minimizing errors for predicting states of observable nodes and proposed a novel data-driven deep learning model called Gumbel-softmax Inference for Network (GIN) to solve the problem under incomplete information. The GIN framework includes three modules: a dynamics learner, a network generator, and an initial state generator to infer the unobservable parts of the network. We implement experiments on artificial and empirical social networks with discrete and continuous dynamics. The experiments show that our method can infer the unknown parts of the structure and the initial states of the observable nodes with up to 90% accuracy. The accuracy declines linearly with the increase of the fractions of unobservable nodes. Our framework may have wide applications where the network structure is hard to obtain and the time series data is rich.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-19T04:05:48Z
      DOI: 10.1063/5.0076521
       
  • Synchronization in cilia carpets and the Kuramoto model with local
           coupling: Breakup of global synchronization in the presence of noise

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      Authors: Anton Solovev, Benjamin M. Friedrich
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      Carpets of beating cilia represent a paradigmatic example of self-organized synchronization of noisy biological oscillators, characterized by traveling waves of cilia phase. We present a multi-scale model of a cilia carpet that comprises realistic hydrodynamic interactions between cilia computed for a chiral cilia beat pattern from unicellular Paramecium and active noise of the cilia beat. We demonstrate an abrupt loss of global synchronization beyond a characteristic noise strength. We characterize stochastic transitions between synchronized and disordered dynamics, which generalize the notion of phase slips in pairs of coupled noisy phase oscillators. Our theoretical work establishes a link between the two-dimensional Kuramoto model of phase oscillators with mirror-symmetric oscillator coupling and detailed models of biological oscillators with asymmetric, chiral interactions.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-19T04:05:08Z
      DOI: 10.1063/5.0075095
       
  • Synchronization in Hindmarsh–Rose neurons subject to higher-order
           interactions

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      Authors: Fatemeh Parastesh, Mahtab Mehrabbeik, Karthikeyan Rajagopal, Sajad Jafari, Matjaž Perc
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      Higher-order interactions might play a significant role in the collective dynamics of the brain. With this motivation, we here consider a simplicial complex of neurons, in particular, studying the effects of pairwise and three-body interactions on the emergence of synchronization. We assume pairwise interactions to be mediated through electrical synapses, while for second-order interactions, we separately study diffusive coupling and nonlinear chemical coupling. For all the considered cases, we derive the necessary conditions for synchronization by means of linear stability analysis, and we compute the synchronization errors numerically. Our research shows that the second-order interactions, even if of weak strength, can lead to synchronization under significantly lower first-order coupling strengths. Moreover, the overall synchronization cost is reduced due to the introduction of three-body interactions if compared to pairwise interactions.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-18T06:26:47Z
      DOI: 10.1063/5.0079834
       
  • Evolutionary clustering of Lagrangian trajectories in turbulent
           Rayleigh–Bénard convection flows

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      Authors: Christiane Schneide, Philipp P. Vieweg, Jörg Schumacher, Kathrin Padberg-Gehle
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      We explore the transport mechanisms of heat in two- and three-dimensional turbulent convection flows by means of the long-term evolution of Lagrangian coherent sets. They are obtained from the spectral clustering of trajectories of massless fluid tracers that are advected in the flow. Coherent sets result from trajectories that stay closely together under the dynamics of the turbulent flow. For longer times, they are always destroyed by the intrinsic turbulent dispersion of material transport. Here, this constraint is overcome by the application of evolutionary clustering algorithms that add a time memory to the coherent set detection and allows individual trajectories to leak in or out of evolving clusters. Evolutionary clustering thus also opens the possibility to monitor the splits and mergers of coherent sets. These rare dynamic events leave clear footprints in the evolving eigenvalue spectrum of the Laplacian matrix of the trajectory network in both convection flows. The Lagrangian trajectories reveal the individual pathways of convective heat transfer across the fluid layer. We identify the long-term coherent sets as those fluid flow regions that contribute least to heat transfer. Thus, our evolutionary framework defines a complementary perspective on the slow dynamics of turbulent superstructure patterns in convection flows that were recently discussed in the Eulerian frame of reference. The presented framework might be well suited for studies in natural flows, which are typically based on sparse information from drifters and probes.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-18T06:17:27Z
      DOI: 10.1063/5.0076035
       
  • Leonid Shilnikov and mathematical theory of dynamical chaos

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      Authors: Sergey Gonchenko, Alexey Kazakov, Dmitry Turaev, Andrey L. Shilnikov
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.

      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-18T06:16:57Z
      DOI: 10.1063/5.0080836
       
  • Symplectic integration of learned Hamiltonian systems

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      Authors: C. Offen, S. Ober-Blöbaum
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      Hamiltonian systems are differential equations that describe systems in classical mechanics, plasma physics, and sampling problems. They exhibit many structural properties, such as a lack of attractors and the presence of conservation laws. To predict Hamiltonian dynamics based on discrete trajectory observations, the incorporation of prior knowledge about Hamiltonian structure greatly improves predictions. This is typically done by learning the system’s Hamiltonian and then integrating the Hamiltonian vector field with a symplectic integrator. For this, however, Hamiltonian data need to be approximated based on trajectory observations. Moreover, the numerical integrator introduces an additional discretization error. In this article, we show that an inverse modified Hamiltonian structure adapted to the geometric integrator can be learned directly from observations. A separate approximation step for the Hamiltonian data is avoided. The inverse modified data compensate for the discretization error such that the discretization error is eliminated. The technique is developed for Gaussian processes.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-13T03:37:45Z
      DOI: 10.1063/5.0065913
       
  • Amplitude-modulated spiking as a novel route to bursting: Coupling-induced
           mixed-mode oscillations by symmetry breaking

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      Authors: Morten Gram Pedersen, Morten Brøns, Mads Peter Sørensen
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      Mixed-mode oscillations consisting of alternating small- and large-amplitude oscillations are increasingly well understood and are often caused by folded singularities, canard orbits, or singular Hopf bifurcations. We show that coupling between identical nonlinear oscillators can cause mixed-mode oscillations because of symmetry breaking. This behavior is illustrated for diffusively coupled FitzHugh–Nagumo oscillators with negative coupling constant, and we show that it is caused by a singular Hopf bifurcation related to a folded saddle-node (FSN) singularity. Inspired by earlier work on models of pancreatic beta-cells [Sherman, Bull. Math. Biol. 56, 811 (1994)], we then identify a new type of bursting dynamics due to diffusive coupling of cells firing action potentials when isolated. In the presence of coupling, small-amplitude oscillations in the action potential height precede transitions to square-wave bursting. Confirming the hypothesis from the earlier work that this behavior is related to a pitchfork-of-limit-cycles bifurcation in the fast subsystem, we find that it is caused by symmetry breaking. Moreover, we show that it is organized by a FSN in the averaged system, which causes a singular Hopf bifurcation. Such behavior is related to the recently studied dynamics caused by the so-called torus canards.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-13T03:34:44Z
      DOI: 10.1063/5.0072497
       
  • Introduction to focus issue: In memory of Vadim S. Anishchenko:
           Statistical physics and nonlinear dynamics of complex systems

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      Authors: Anna Zakharova, Galina Strelkova, Eckehard Schöll, Jürgen Kurths
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.

      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-13T03:34:04Z
      DOI: 10.1063/5.0082335
       
  • Application of the method of parallel trajectories on modeling the
           dynamics of COVID-19 third wave

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      Authors: Y. Contoyiannis, S. G. Stavrinides, M. P. Hanias, M. Kampitakis, P. Papadopoulos, R. Picos, S. M. Potirakis, E. Kosmidis
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      In this paper, we present a new method for successfully simulating the dynamics of COVID-19, experimentally focusing on the third wave. This method, namely, the Method of Parallel Trajectories (MPT), is based on the recently introduced self-organized diffusion model. According to this method, accurate simulation of the dynamics of the COVID-19 infected population evolution is accomplished by considering not the total data for the infected population, but successive segments of it. By changing the initial conditions with which each segment of the simulation is produced, we achieve close and detailed monitoring of the evolution of the pandemic, providing a tool for evaluating the overall situation and the fine-tuning of the restrictive measures. Finally, the application of the proposed MPT on simulating the pandemic's third wave dynamics in Greece and Italy is presented, verifying the method's effectiveness.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-11T05:19:56Z
      DOI: 10.1063/5.0075987
       
  • The transition to synchronization on branching hierarchical lattices

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      Authors: Anupama Roy, Neelima Gupte
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      We study the transition to synchronization on hierarchical lattices using the evolution of Chaté–Manneville maps placed on a triangular lattice. Connections are generated between the levels of the triangular lattice, assuming that each site is connected to its neighbors on the level below with probability half. The maps are diffusively coupled, and the map parameters increase hierarchically, depending on the map parameters at the sites they are coupled to in the previous level. The system shows a transition to synchronization, which is second order in nature, with associated critical exponents. However, the V-lattice, which is a special realization of this lattice, shows a transition to synchronization that is discontinuous with accompanying hysteretic behavior. This transition can thus be said to belong to the class of explosive synchronization with the explosive nature depending on the nature of the substrate. We carry out finite-size–finite-time scaling for the continuous transition and analyze the scaling of the jump size for the discontinuous case. We discuss the implications of our results and draw parallels with avalanche statistics on branching hierarchical lattices.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-11T05:18:54Z
      DOI: 10.1063/5.0055291
       
  • A modified Ricker map and its bursting oscillations

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      Authors: Marcelo A. Mazariego, Enrique Peacock-López
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      In our search to understand complex oscillation in discrete dynamic systems, we modify the Ricker map, where one parameter is also a dynamic variable. Using the bistable behavior of the fixed point solution, we analyze two response functions that characterize the change of the dynamic parameter. The 2D map sustains different types of burst oscillations that depend on the response functions. In either case, the parameter values yield a slow dynamic variable required to observe bursting-type oscillations.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-11T05:16:13Z
      DOI: 10.1063/5.0058073
       
  • Effects of topological characteristics on rhythmic states of the
           D-dimensional Kuramoto model in complex networks

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      Authors: Xiang Ling, Wen-Bin Ju, Ning Guo, Kong-Jin Zhu, Chao-Yun Wu, Qing-Yi Hao
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      Synchronization is a ubiquitous phenomenon in engineering and natural ecosystems. While the dynamics of synchronization modeled by the Kuramoto model are commonly studied in two dimensions and the state of dynamic units is characterized by a scalar angle variable, we studied the Kuramoto model generalized to D dimensions in the framework of a complex network and utilized the local synchronous order parameter between the agent and its neighbors as the controllable variable to adjust the coupling strength. Here, we reported that average connectivity of networks affects the time-dependent, rhythmic, cyclic state. Importantly, we found that the level of heterogeneity of networks governs the rhythmic state in the transition process. The analytical treatment for observed scenarios in a D-dimensional Kuramoto model at [math] was provided. These results offered a platform for a better understanding of time-dependent swarming and flocking dynamics in nature.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-11T05:14:33Z
      DOI: 10.1063/5.0058747
       
  • Existence of multiple noise-induced transitions in Lasota–Mackey
           maps

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      Authors: Takumi Chihara, Yuzuru Sato, Isaia Nisoli, Stefano Galatolo
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      We prove the existence of multiple noise-induced transitions in the Lasota–Mackey map, which is a class of one-dimensional random dynamical system with additive noise. The result is achieved with the help of rigorous computer assisted estimates. We first approximate the stationary distribution of the random dynamical system and then compute certified error intervals for the Lyapunov exponent. We find that the sign of the Lyapunov exponent changes at least three times when increasing the noise amplitude. We also show numerical evidence that the standard non-rigorous numerical approximation by finite-time Lyapunov exponent is valid with our model for a sufficiently large number of iterations. Our method is expected to work for a broad class of nonlinear stochastic phenomena.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-11T05:13:33Z
      DOI: 10.1063/5.0070198
       
  • Topological analysis of the latent geometry of a complex network

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      Authors: Bukyoung Jhun
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      Most real-world networks are embedded in latent geometries. If a node in a network is found in the vicinity of another node in the latent geometry, the two nodes have a disproportionately high probability of being connected by a link. The latent geometry of a complex network is a central topic of research in network science, which has an expansive range of practical applications, such as efficient navigation, missing link prediction, and brain mapping. Despite the important role of topology in the structures and functions of complex systems, little to no study has been conducted to develop a method to estimate the general unknown latent geometry of complex networks. Topological data analysis, which has attracted extensive attention in the research community owing to its convincing performance, can be directly implemented into complex networks; however, even a small fraction (0.1%) of long-range links can completely erase the topological signature of the latent geometry. Inspired by the fact that long-range links in a network have disproportionately high loads, we develop a set of methods that can analyze the latent geometry of a complex network: the modified persistent homology diagram and the map of the latent geometry. These methods successfully reveal the topological properties of the synthetic and empirical networks used to validate the proposed methods.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-11T05:12:43Z
      DOI: 10.1063/5.0073107
       
  • Integrated information as a common signature of dynamical and
           information-processing complexity

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      Authors: Pedro A. M. Mediano, Fernando E. Rosas, Juan Carlos Farah, Murray Shanahan, Daniel Bor, Adam B. Barrett
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      The apparent dichotomy between information-processing and dynamical approaches to complexity science forces researchers to choose between two diverging sets of tools and explanations, creating conflict and often hindering scientific progress. Nonetheless, given the shared theoretical goals between both approaches, it is reasonable to conjecture the existence of underlying common signatures that capture interesting behavior in both dynamical and information-processing systems. Here, we argue that a pragmatic use of integrated information theory (IIT), originally conceived in theoretical neuroscience, can provide a potential unifying framework to study complexity in general multivariate systems. By leveraging metrics put forward by the integrated information decomposition framework, our results reveal that integrated information can effectively capture surprisingly heterogeneous signatures of complexity—including metastability and criticality in networks of coupled oscillators as well as distributed computation and emergent stable particles in cellular automata—without relying on idiosyncratic, ad hoc criteria. These results show how an agnostic use of IIT can provide important steps toward bridging the gap between informational and dynamical approaches to complex systems.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-11T05:12:03Z
      DOI: 10.1063/5.0063384
       
  • A phytoplankton–zooplankton–fish model with chaos control: In the
           presence of fear effect and an additional food

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      Authors: Sajan, Sourav Kumar Sasmal, Balram Dubey
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      The interplay of phytoplankton, zooplankton, and fish is one of the most important aspects of the aquatic environment. In this paper, we propose to explore the dynamics of a phytoplankton–zooplankton–fish system, with fear-induced birth rate reduction in the middle predator by the top predator and an additional food source for the top predator fish. Phytoplankton–zooplankton and zooplankton–fish interactions are handled using Holling type IV and II responses, respectively. First, we prove the well-posedness of the system, followed by results related to the existence of possible equilibrium points. Conditions under which a different number of interior equilibria exist are also derived here. We also show this existence numerically by varying the intrinsic growth rate of phytoplankton species, which demonstrates the model’s vibrant nature from a mathematical point of view. Furthermore, we performed the local and global stability analysis around the above equilibrium points, and the transversality conditions for the occurrence of Hopf bifurcations and transcritical bifurcations are established. We observe numerically that for low levels of fear, the system behaves chaotically, and as we increase the fear parameter, the solution approaches a stable equilibrium by the route of period-halving. The chaotic behavior of the system at low levels of fear can also be controlled by increasing the quality of additional food. To corroborate our findings, we constructed several phase portraits, time-series graphs, and one- and two-parametric bifurcation diagrams. The computation of the largest Lyapunov exponent and a sketch of Poincaré maps verify the chaotic character of the proposed system. On varying the parametric values, the system exhibits phenomena like multistability and the enrichment paradox, which are the basic qualities of non-linear models. Thus, the current study can also help ecologists to estimate the parameters to study and obtain such important findings related to non-linear PZF systems. Therefore, from a biological and mathematical perspective, the analysis and the corresponding results of this article appear to be rich and interesting.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-11T05:10:33Z
      DOI: 10.1063/5.0069474
       
  • A complex network approach to study the extreme precipitation patterns in
           a river basin

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      Authors: Ankit Agarwal, Ravi Kumar Guntu, Abhirup Banerjee, Mayuri Ashokrao Gadhawe, Norbert Marwan
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      The quantification of spatial propagation of extreme precipitation events is vital in water resources planning and disaster mitigation. However, quantifying these extreme events has always been challenging as many traditional methods are insufficient to capture the nonlinear interrelationships between extreme event time series. Therefore, it is crucial to develop suitable methods for analyzing the dynamics of extreme events over a river basin with a diverse climate and complicated topography. Over the last decade, complex network analysis emerged as a powerful tool to study the intricate spatiotemporal relationship between many variables in a compact way. In this study, we employ two nonlinear concepts of event synchronization and edit distance to investigate the extreme precipitation pattern in the Ganga river basin. We use the network degree to understand the spatial synchronization pattern of extreme rainfall and identify essential sites in the river basin with respect to potential prediction skills. The study also attempts to quantify the influence of precipitation seasonality and topography on extreme events. The findings of the study reveal that (1) the network degree is decreased in the southwest to northwest direction, (2) the timing of 50th percentile precipitation within a year influences the spatial distribution of degree, (3) the timing is inversely related to elevation, and (4) the lower elevation greatly influences connectivity of the sites. The study highlights that edit distance could be a promising alternative to analyze event-like data by incorporating event time and amplitude and constructing complex networks of climate extremes.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-11T05:09:53Z
      DOI: 10.1063/5.0072520
       
  • Synchronization of discrete fractional-order complex networks with and
           without unknown topology

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      Authors: Weiyuan Ma, Zhiming Li, Nuri Ma
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      This paper studies the outer synchronization problem of discrete fractional complex networks (DFCNs) with and without the presence of unknown topology. A discrete complex network with a fractional difference is first established and analyzed. By constructing a suitable Lyapunov function and utilizing properties of the fractional difference, outer synchronization criteria for the DFCNs with and without unknown topology are established based on linear matrix inequalities. Meanwhile, the unknown parameters in the topology structure of the network can be identified by adaptive update laws. In the end, two numerical examples are given to exemplify the validity and applicability of the obtained results.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-11T05:09:13Z
      DOI: 10.1063/5.0072207
       
  • The power-law distribution in the geometrically growing system: Statistic
           of the COVID-19 pandemic

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      Authors: Kim Chol-jun
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      The power-law distribution is ubiquitous and seems to have various mechanisms. We find a general mechanism for the distribution. The distribution of a geometrically growing system can be approximated by a log-completely squared chi distribution with one degree of freedom (log-CS[math]), which reaches asymptotically a power-law distribution, or by a lognormal distribution, which has an infinite asymptotic slope, at the upper limit. For the log-CS[math], the asymptotic exponent of the power-law or the slope in a log–log diagram seems to be related only to the variances of the system parameters and their mutual correlation but independent of an initial distribution of the system or any mean value of parameters. We can take the log-CS[math] as a unique approximation when the system should have a singular initial distribution. The mechanism shows comprehensiveness to be applicable to wide practice. We derive a simple formula for Zipf’s exponent, which will probably demand that the exponent should be near [math]1 rather than exactly [math]1. We show that this approach can explain statistics of the COVID-19 pandemic.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-11T05:08:03Z
      DOI: 10.1063/5.0068220
       
  • Rate of convergence in the disjunctive chaos game algorithm

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      Authors: Krzysztof Leśniak, Nina Snigireva, Filip Strobin
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      The rate of convergence of the chaos game algorithm for recovering attractors of contractive iterated function systems (IFSs) is studied. As with successive Picard iterates in the Banach fixed point principle, one has the exponential convergence. However, a symbolic sequence driving the iteration needs to obey some suitable statistical properties. Specifically, this sequence needs to behave like the classical Champernowne sequence. The exponent of convergence can be estimated from below in terms of (lower and upper) box dimensions of the attractor and from above by the entropy of the driver discounted by the Lipschitz constant of the IFS. Generically (in the sense of the Baire category), a driver that recovers the attractor yields arbitrarily slow convergence (of infinite order) interlaced with arbitrarily fast possible convergence (of order approaching a lower dimension).
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-11T05:07:33Z
      DOI: 10.1063/5.0076743
       
  • Anisotropic frontal polymerization in a model resin–copper composite

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      Authors: Yuan Gao, Sarah Li, Jin-Young Kim, Imogen Hoffman, Sagar K. Vyas, John A. Pojman, Philippe H. Geubelle
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      This work investigates experimentally and numerically frontal polymerization in a thermally anisotropic system with parallel copper strips embedded in 1,6-hexanediol diacrylate resin. Both experiments and multiphysics finite element analyses reveal that the front propagation in the thermally anisotropic system is orientation-dependent, leading to variations in the front shape and the front velocity due to the different front–metal strip interaction mechanisms along and across the metal strips. The parameters entering the cure kinetics model used in this work are chosen to capture the key characteristics of the polymerization front, i.e., the front temperature and velocity. Numerical parametric analyses demonstrate that the front velocity in the directions parallel and perpendicular to the metal strips increases as the system size decreases and approaches the analytical prediction for homogenized systems. A two-dimensional homogenized model for anisotropic frontal polymerization in the metal–resin system is proposed.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-11T05:06:13Z
      DOI: 10.1063/5.0077552
       
  • Bifurcations of mixed-mode oscillations in three-timescale systems: An
           extended prototypical example

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      Authors: P. Kaklamanos, N. Popović, K. U. Kristiansen
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      We study a class of multi-parameter three-dimensional systems of ordinary differential equations that exhibit dynamics on three distinct timescales. We apply geometric singular perturbation theory to explore the dependence of the geometry of these systems on their parameters, with a focus on mixed-mode oscillations (MMOs) and their bifurcations. In particular, we uncover a novel geometric mechanism that encodes the transition from MMOs with single epochs of small-amplitude oscillations (SAOs) to those with double-epoch SAOs; the former feature SAOs or pseudo-plateau bursting either “below” or “above” in their time series, while in the latter, SAOs or pseudo-plateau bursting occur both “below” and “above.” We identify a relatively simple prototypical three-timescale system that realizes our mechanism, featuring a one-dimensional [math]-shaped 2-critical manifold that is embedded into a two-dimensional [math]-shaped critical manifold in a symmetric fashion. We show that the Koper model from chemical kinetics is merely a particular realization of that prototypical system for a specific choice of parameters; in particular, we explain the robust occurrence of mixed-mode dynamics with double epochs of SAOs therein. Finally, we argue that our geometric mechanism can elucidate the mixed-mode dynamics of more complicated systems with a similar underlying geometry, such as a three-dimensional, three-timescale reduction of the Hodgkin–Huxley equations from mathematical neuroscience.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-11T05:05:24Z
      DOI: 10.1063/5.0073353
       
  • Unbalanced clustering and solitary states in coupled excitable systems

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      Authors: Igor Franović, Sebastian Eydam, Nadezhda Semenova, Anna Zakharova
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      We discover the mechanisms of emergence and the link between two types of symmetry-broken states, the unbalanced periodic two-cluster states and solitary states, in coupled excitable systems with attractive and repulsive interactions. The prevalent solitary states in non-locally coupled arrays, whose self-organization is based on successive (order preserving) spiking of units, derive their dynamical features from the corresponding unbalanced cluster states in globally coupled networks. Apart from the states with successive spiking, we also find cluster and solitary states where the interplay of excitability and local multiscale dynamics gives rise to so-called leap-frog activity patterns with an alternating order of spiking between the units. We show that the noise affects the system dynamics by suppressing the multistability of cluster states and by inducing pattern homogenization, transforming solitary states into patterns of patched synchrony.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-11T04:59:53Z
      DOI: 10.1063/5.0077022
       
  • Learn bifurcations of nonlinear parametric systems via equation-driven
           neural networks

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      Authors: Wenrui Hao, Chunyue Zheng
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      Nonlinear parametric systems have been widely used in modeling nonlinear dynamics in science and engineering. Bifurcation analysis of these nonlinear systems on the parameter space is usually used to study the solution structure, such as the number of solutions and the stability. In this paper, we develop a new machine learning approach to compute the bifurcations via so-called equation-driven neural networks (EDNNs). The EDNNs consist of a two-step optimization: the first step is to approximate the solution function of the parameter by training empirical solution data; the second step is to compute bifurcations using the approximated neural network obtained in the first step. Both theoretical convergence analysis and numerical implementation on several examples have been performed to demonstrate the feasibility of the proposed method.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-11T04:33:53Z
      DOI: 10.1063/5.0078306
       
  • Learning continuous chaotic attractors with a reservoir computer

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      Authors: Lindsay M. Smith, Jason Z. Kim, Zhixin Lu, Dani S. Bassett
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      Neural systems are well known for their ability to learn and store information as memories. Even more impressive is their ability to abstract these memories to create complex internal representations, enabling advanced functions such as the spatial manipulation of mental representations. While recurrent neural networks (RNNs) are capable of representing complex information, the exact mechanisms of how dynamical neural systems perform abstraction are still not well-understood, thereby hindering the development of more advanced functions. Here, we train a 1000-neuron RNN—a reservoir computer (RC)—to abstract a continuous dynamical attractor memory from isolated examples of dynamical attractor memories. Furthermore, we explain the abstraction mechanism with a new theory. By training the RC on isolated and shifted examples of either stable limit cycles or chaotic Lorenz attractors, the RC learns a continuum of attractors as quantified by an extra Lyapunov exponent equal to zero. We propose a theoretical mechanism of this abstraction by combining ideas from differentiable generalized synchronization and feedback dynamics. Our results quantify abstraction in simple neural systems, enabling us to design artificial RNNs for abstraction and leading us toward a neural basis of abstraction.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-04T01:59:33Z
      DOI: 10.1063/5.0075572
       
  • Hybrid nonlinear resonance in Hamiltonian systems

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      Authors: A. Ugulava, S. Chkhaidze, O. Kharshiladze, G. Mchedlishvili
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      An electronic system in an atom can be considered Hamiltonian only at times shorter than the spontaneous relaxation time. However, this time is sufficient for resonant action on the electronic system and for the implementation of the resonance inherent in Hamiltonian systems. In practice, there may be a case when it is expedient to use a hybrid approach to study nonlinear resonance, in which the classical theory can be used to calculate the action-dependent nonlinear resonance frequency, and the quantum theory can be used to calculate its correction. The use of such a hybrid approach becomes necessary when the resonant value of the action does not exceed Planck's constant many times. It is shown in the work that if the external electromagnetic field has the form of a periodic series of light pulses with a high duty cycle, then the phenomenon of nonlinear hybrid resonance leads to the appearance of a line in the low-frequency region of the electronic spectrum. The broadening of this line is determined using the rms quantum fluctuations.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-03T03:35:47Z
      DOI: 10.1063/5.0072971
       
  • Optimizing charge-balanced pulse stimulation for desynchronization

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      Authors: Erik T. K. Mau, Michael Rosenblum
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      Collective synchronization in a large population of self-sustained units appears both in natural and engineered systems. Sometimes this effect is in demand, while in some cases, it is undesirable, which calls for control techniques. In this paper, we focus on pulsatile control, with the goal to either increase or decrease the level of synchrony. We quantify this level by the entropy of the phase distribution. Motivated by possible applications in neuroscience, we consider pulses of a realistic shape. Exploiting the noisy Kuramoto–Winfree model, we search for the optimal pulse profile and the optimal stimulation phase. For this purpose, we derive an expression for the change of the phase distribution entropy due to the stimulus. We relate this change to the properties of individual units characterized by generally different natural frequencies and phase response curves and the population’s state. We verify the general result by analyzing a two-frequency population model and demonstrating a good agreement of the theory and numerical simulations.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-03T03:35:46Z
      DOI: 10.1063/5.0070036
       
  • Kuramoto model for populations of quadratic integrate-and-fire neurons
           with chemical and electrical coupling

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      Authors: Pau Clusella, Bastian Pietras, Ernest Montbrió
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      We derive the Kuramoto model (KM) corresponding to a population of weakly coupled, nearly identical quadratic integrate-and-fire (QIF) neurons with both electrical and chemical coupling. The ratio of chemical to electrical coupling determines the phase lag of the characteristic sine coupling function of the KM and critically determines the synchronization properties of the network. We apply our results to uncover the presence of chimera states in two coupled populations of identical QIF neurons. We find that the presence of both electrical and chemical coupling is a necessary condition for chimera states to exist. Finally, we numerically demonstrate that chimera states gradually disappear as coupling strengths cease to be weak.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-03T03:35:45Z
      DOI: 10.1063/5.0075285
       
  • Symmetry-breaking mechanism for the formation of cluster chimera patterns

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      Authors: Malbor Asllani, Bram A. Siebert, Alex Arenas, James P. Gleeson
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      The emergence of order in collective dynamics is a fascinating phenomenon that characterizes many natural systems consisting of coupled entities. Synchronization is such an example where individuals, usually represented by either linear or nonlinear oscillators, can spontaneously act coherently with each other when the interactions’ configuration fulfills certain conditions. However, synchronization is not always perfect, and the coexistence of coherent and incoherent oscillators, broadly known in the literature as chimera states, is also possible. Although several attempts have been made to explain how chimera states are created, their emergence, stability, and robustness remain a long-debated question. We propose an approach that aims to establish a robust mechanism through which cluster synchronization and chimera patterns originate. We first introduce a stability-breaking method where clusters of synchronized oscillators can emerge. At variance with the standard approach where synchronization arises as a collective behavior of coupled oscillators, in our model, the system initially sets on a homogeneous fixed-point regime, and, only due to a global instability principle, collective oscillations emerge. Following a combination of the network modularity and the model’s parameters, one or more clusters of oscillators become incoherent within yielding a particular class of patterns that we here name cluster chimera states.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-03T03:35:43Z
      DOI: 10.1063/5.0060466
       
  • Intermingled attractors in an asymmetrically driven modified Chua
           oscillator

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      Authors: Thierry Tanze Wontchui, Michael Ekonde Sone, Sangeeta Rani Ujjwal, Joseph Yves Effa, Henri Paul Ekobena Fouda, Ram Ramaswamy
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      Understanding the asymptotic behavior of a dynamical system when system parameters are varied remains a key challenge in nonlinear dynamics. We explore the dynamics of a multistable dynamical system (the response) coupled unidirectionally to a chaotic drive. In the absence of coupling, the dynamics of the response system consists of simple attractors, namely, fixed points and periodic orbits, and there could be chaotic motion depending on system parameters. Importantly, the boundaries of the basins of attraction for these attractors are all smooth. When the drive is coupled to the response, the entire dynamics becomes chaotic: distinct multistable chaos and bistable chaos are observed. In both cases, we observe a mixture of synchronous and desynchronous states and a mixture of synchronous states only. The response system displays a much richer, complex dynamics. We describe and analyze the corresponding basins of attraction using the required criteria. Riddled and intermingled structures are revealed.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-03T03:35:42Z
      DOI: 10.1063/5.0069232
       
  • Diffusive instability in hyperbolic reaction–diffusion equation with
           different inertia

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      Authors: Santu Ghorai, Swarup Poria, Nandadulal Bairagi
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      This work considers a two-dimensional hyperbolic reaction–diffusion system with different inertia and explores criteria for various instabilities, like a wave, Turing, and Hopf, both theoretically and numerically. It is proven that wave instability may occur in a two-species hyperbolic reaction–diffusion system with identical inertia if the diffusion coefficients of the species are nonidentical but cannot occur if diffusion coefficients are identical. Wave instability may also arise in a two-dimensional hyperbolic reaction–diffusion system if the diffusivities of the species are equal, which is never possible in a parabolic reaction–diffusion system, provided the inertias are different. Interestingly, Turing instability is independent of inertia, but the stability of the corresponding local system depends on the inertia. Theoretical results are demonstrated with an example where the local interaction is represented by the Schnakenberg system.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-03T03:35:40Z
      DOI: 10.1063/5.0071959
       
  • Relaxation oscillation in planar discontinuous piecewise smooth
           fast–slow systems

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      Authors: Pedro Toniol Cardin
      Abstract: Chaos: An Interdisciplinary Journal of Nonlinear Science, Volume 32, Issue 1, January 2022.
      This paper provides a geometric analysis of relaxation oscillations in the context of planar fast–slow systems with a discontinuous right-hand side. We give conditions that guarantee the existence of a stable crossing limit cycle [math] when the singular perturbation parameter [math] is positive and small enough. Moreover, in the singular limit [math], the cycle [math] converges to a crossing closed singular trajectory. We also study the regularization of the crossing relaxation oscillator [math] and show that a (smooth) relaxation oscillation exists for the regularized vector field, which is a smooth fast–slow vector field with singular perturbation parameter [math]. Our approach uses tools in geometric singular perturbation theory. We demonstrate the results to a number of examples including a model of an arch bridge with nonlinear viscous damping.
      Citation: Chaos: An Interdisciplinary Journal of Nonlinear Science
      PubDate: 2022-01-03T03:35:39Z
      DOI: 10.1063/5.0048340
       
 
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