COMPLEX BEHAVIOR IN COUPLED CHAOTIC CIRCUITS RELATED BY INTERMITTENCY AND ITS MODELING METHODS

Author:

UWATE YOKO1,NISHIO YOSHIFUMI1

Affiliation:

1. Department of Electrical and Electronic Engineering, Tokushima University, 2-1 Minami-Josanjima, Tokushima, 770-8506, Japan

Abstract

We discover a complex behavior when switching three different synchronization states in two coupled chaotic circuits related to intermittency. Two methods to model this interesting complex behavior are proposed. First, we model this complex behavior by a first-order Markov chain with four states. Second, the modeling method by using 1-D Poincaré map derived from one chaotic circuit is proposed. We confirm that both modeling methods agree very well with computer simulations. Finally, we discuss the characteristics of two modeling methods for calculation times, modeling accuracy and application of large-scale systems.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

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