Summary

International Symposium on Nonlinear Theory and its Applications

2009

Session Number:A1L-D

Session:

Number:A1L-D3

From Chaotic Attractors to Complex Networks

Yutaka Shimada,  Tohru Ikeguchi,  

pp.-

Publication Date:2009/10/18

Online ISSN:2188-5079

DOI:10.34385/proc.43.A1L-D3

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Summary:
Recently, novel approaches have been proposed to analyze nonlinear time series using the complex network theory. In these approaches, time series are transformed to networks and analyzed by the complex network theory. We have already proposed a recurrence-plot based method to construct networks from attractors of nonlinear dynamical systems or reconstructed attractors from time series and showed that the networks constructed from chaotic attractors become the small-world networks. Here we show that the small-world property emerges in several chaotic dynamical systems. We also investigate the influence of dynamical noise injected to the dynamical system on networks constructed from attractors generated from these dynamical systems.