Role of multistability in the transition to chaotic phase synchronization

TY - JOUR

T1 - Role of multistability in the transition to chaotic phase synchronization

AU - Postnov, D. E.

AU - Vadivasova, T. E.

AU - Sosnovtseva, Olga

AU - Balanov, A. G.

AU - Anishchenko, V. S.

AU - Mosekilde, Erik

PY - 1999/3/1

Y1 - 1999/3/1

N2 - In this paper we describe the transition to phase synchronization for systems of coupled nonlinear oscillators that individually follow the Feigenbaum route to chaos. A nested structure of phase synchronized regions of different attractor families is observed. With this structure, the transition to nonsynchronous behavior is determined by the loss of stability for the most stable synchronous mode. It is shown that the appearance of hyperchaos and the transition from lag synchronization to phase synchronization are related to the merging of chaotic attractors from different families. Numerical examples using Rossler systems and model maps are given. (c) 1999 American Institute of Physics.

AB - In this paper we describe the transition to phase synchronization for systems of coupled nonlinear oscillators that individually follow the Feigenbaum route to chaos. A nested structure of phase synchronized regions of different attractor families is observed. With this structure, the transition to nonsynchronous behavior is determined by the loss of stability for the most stable synchronous mode. It is shown that the appearance of hyperchaos and the transition from lag synchronization to phase synchronization are related to the merging of chaotic attractors from different families. Numerical examples using Rossler systems and model maps are given. (c) 1999 American Institute of Physics.

U2 - 10.1063/1.166394

DO - 10.1063/1.166394

M3 - Journal article

C2 - 12779818

SN - 1054-1500

VL - 9

SP - 227

EP - 232

JO - Chaos

JF - Chaos

IS - 1

ER -