Summary
International Symposium on Nonlinear Theory and its Applications
2008
Session Number:A2L-E
Session:
Number:A2L-E4
Analysing chaotic attractors by measures of complex networks
Yutaka Shimada, Tohru Ikeguchi,
pp.-
Publication Date:2008/9/7
Online ISSN:2188-5079
Summary:
Various complex phenomena in our world may have deterministic nature or stochastic one, or both. Then, it is an important issue to characterize the dynamics of these complex phenomena. Therefore, in this paper, we propose a new method to analyze deterministic chaos from a new point of view. In the proposed method, we first construct a network from an attractor of nonlinear dynamical systems. In this network, nodes correspond to points on the attractor and connections between the nodes are decided by Euclidean distance between the points on the attractor. Next, we measure the degree of the nodes in the network. As a result, we confirmed that the networks constructed from chaotic attractors show different tendency from other attractors.