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Journal of Complex Systems
  [2 followers]  Follow
  This is an Open Access Journal Open Access journal
   ISSN (Print) 2356-7244 - ISSN (Online) 2314-6540
   This journal is no longer being updated because:
    The journal ceased publication in 2016
  • Use of False Nearest Neighbours for Selecting Variables and Embedding
           Parameters for State Space Reconstruction

    • Abstract: If data are generated by a system with a d-dimensional attractor,then Takens’ theorem guarantees that reconstruction that is diffeomorphicto the original attractor can be built from the single time seriesin -dimensional phase space. However, under certain conditions,reconstruction is possible even in a space of smaller dimension. Thistopic is very important because the size of the reconstruction spacerelates to the effectiveness of the whole subsequent analysis. Inthis paper, the false nearest neighbour (FNN) methods are revisitedto estimate the optimum embedding parameters and the most appropriateobservables for state space reconstruction. A modification of thefalse nearest neighbour method is introduced. The findings contribute to evidence that the length of the embeddingtime window (TW) is more important than the reconstruction delay timeand the embedding dimension (ED) separately. Moreover, if severaltime series of the same system are observed, the choice of the onethat is used for the reconstruction could also be critical. The resultsare demonstrated on two chaotic benchmark systems.
      PubDate: Mon, 09 Mar 2015 07:08:36 +000
  • Some Fixed Point Theorems in Complex Valued b-Metric Spaces

    • Abstract: Recently, Azam et al. introduced the notion of complex valued metric spaces and proved fixed point theorems under the contraction condition. Rao et al. introduced the notion of complex valued b-metric spaces. In this paper, we obtain some fixed point results for the mapping satisfying rational expressions in complex valued b-metric spaces. Also, an example is given to illustrate our obtained result.
      PubDate: Mon, 26 Jan 2015 07:57:57 +000
  • Studying the Relationship between System-Level and Component-Level

    • Abstract: The capacity to maintain stability in a system relies on the components which make up the system. This study explores the relationship between component-level resilience and system-level resilience with the aim of identifying policies which foster system-level resilience in situations where existing incentives might undermine it. We use an abstract model of interacting specialized resource users and producers which can be parameterized to represent specific real systems. We want to understand how features, such as stockpiles, influence system versus component resilience. Systems are subject to perturbations of varying intensity and frequency. For our study, we create a simplified economy in which an inventory carrying cost is imposed to incentivize smaller inventories and examine how components with varying inventory levels compete in environments subject to periods of resource scarcity. The results show that policies requiring larger inventories foster higher component-level resilience but do not foster higher system-level resilience. Inventory carrying costs reduce production efficiency as inventory sizes increase. JIT inventory strategies improve production efficiency but do not afford any buffer against future uncertainty of resource availability.
      PubDate: Thu, 08 Jan 2015 07:36:11 +000
School of Mathematical and Computer Sciences
Heriot-Watt University
Edinburgh, EH14 4AS, UK
Tel: +00 44 (0)131 4513762
Fax: +00 44 (0)131 4513327
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