Affiliation:
1. Departamento de Física Fundamental, Universidad de Barcelona, Avenida Diagonal 647, 08028 Barcelona, Spain
Abstract
A numerical study of the dynamics of two mutually coupled nonlinear oscillators, at least one of them being in a chaotic state, is presented. Each of these oscillators is described as a three-dimensional autonomous flux. The phase of the oscillations, the Lyapunov spectrum and the bifurcation diagram are studied as functions of the coupling strength. When this is increased the two systems entrain, starting to oscillate in phase; then, for further increase, chaos suppression occurs. The study of different cases shows a rich phenomenology which includes multistability, and several bifurcation phenomena. The transitions to chaos suppression and phase synchronization are studied and interpreted in Fourier space on the base of a simple mechanism of mutual induction of motions by means of the coupling.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)
Cited by
4 articles.
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