Role of multistability in the transition to chaotic phase synchronization
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Role of multistability in the transition to chaotic phase synchronization. / Postnov, D. E.; Vadivasova, T. E.; Sosnovtseva, Olga; Balanov, A. G.; Anishchenko, V. S.; Mosekilde, Erik.
In: Chaos (Woodbury, N.Y.), Vol. 9, No. 1, 01.03.1999, p. 227-232.Research output: Contribution to journal › Journal article › Research › peer-review
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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
VL - 9
SP - 227
EP - 232
JO - Chaos
JF - Chaos
SN - 1054-1500
IS - 1
ER -
ID: 33812791