Journal of Complex Systems
http://www.i-scholar.in/index.php/JCoSy
<p>Journal of Complex Systems is a peer-reviewed, open access journal that publishes original research articles as well as review articles related to all aspects of complex systems.</p>Hindawi Limiteden-USJournal of Complex Systems2356-7244Some Fixed Point Theorems in Complex Valued b-Metric Spaces
http://www.i-scholar.in/index.php/JCoSy/article/view/99243
Recently, Azamet 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.A. K. DubeyRita ShuklaR. P. Dubey2015Studying the Relationship between System-Level and Component-Level Resilience
http://www.i-scholar.in/index.php/JCoSy/article/view/99250
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.Michael D. MitchellWalter E. Beyeler2015Use of False Nearest Neighbours for Selecting Variables and Embedding Parameters for State Space Reconstruction
http://www.i-scholar.in/index.php/JCoSy/article/view/99255
If data are generated by a system with a d-dimensional attractor, then Takensâ€™ theorem guarantees that reconstruction that is diffeomorphic to the original attractor can be built from the single time series in (2<em>d</em> + 1)-dimensional phase space. However, under certain conditions, reconstruction is possible even in a space of smaller dimension. This topic is very important because the size of the reconstruction space relates to the effectiveness of the whole subsequent analysis. In this paper, the false nearest neighbour (FNN) methods are revisited to estimate the optimum embedding parameters and the most appropriate observables for state space reconstruction. A modification of the false nearest neighbour method is introduced. The findings contribute to evidence that the length of the embedding time window (TW) is more important than the reconstruction delay time and the embedding dimension (ED) separately. Moreover, if several time series of the same system are observed, the choice of the one that is used for the reconstruction could also be critical. The results are demonstrated on two chaotic benchmark systems.Anna KrakovskaKristĂna MezeiovaHana Budacova2015