Spread of chaotic behavior in scale-free and random networks

Abstract

In this study, we investigate the spread of chaotic behavior to complex network. We propose three types random network models with different network topology. In each network model, the proposed network is composed of coupled chaotic circuits when one circuit is set to generate chaotic attractor and the other circuits are set to generate three-periodic attractors. By using computer simulations, we investigate ratio of propagation and spread of chaotic behavior by changing the initial chaos position. We compare their differences of simulation results in scale-free and random networks. From the simulation result, in scale-free network, the ratio of propagation is effected by clustering coefficient and path length.