Collective phase locked states in a chain of coupled chaotic oscillators

Year: 2002

Authors: Valladares D.L., Boccaletti S., Feudel F., Kurths J.

Autors Affiliation: Departamento de Fisica y Matematica Aplicada, Universidad de Navarra, Pamplona, Spain;
Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy;
Departamento de Fisica, Universidad Nactional de San Luis, Argentina;
Institut für Physik, Universität Potsdam, PF 601553 Potsdam, Germany

Ist Nazl Ott Applicata,;
Univ Nacl San Luis, Dept Fis; U
niv Potsdam, Inst Phys.

Abstract: We discuss the emergence of a collective phase locked state in an open chain of N unidirectionally weakly coupled nonidentical chaotic oscillators. Such a regime is characterized by a Lyapunov spectrum where N-1 exponents that were zero. in the uncoupled regime assume negative values as the coupling strength increases. The dynamics of such collective state is studied, and a comparison is drawn with the case of phase synchronization of a pair of coupled chaotic oscillators. In particular, it is shown that a full phase synchronized state cannot be constructed without at least partial correlation in the chaotic amplitudes.

Journal/Review: PHYSICAL REVIEW E

Volume: 65 (5)      Pages from: 055208-1  to: 055208-4

KeyWords: DYNAMICAL-SYSTEMS; GENERALIZED SYNCHRONIZATION; LAG SYNCHRONIZATION; DEFINITION;
DOI: 10.1103/PhysRevE.65.055208

Citations: 10
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