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Phase synchronization effects in a lattice of nonidentical Rössler oscillators

Authors :
Jüautrgen Kurths
Michael Rosenblum
Grigory V. Osipov
Arkady Pikovsky
Source :
Physical Review E. 55:2353-2361
Publication Year :
1997
Publisher :
American Physical Society (APS), 1997.

Abstract

We study phase synchronization in a chain of weakly coupled chaotic oscillators. In the synchronous state, the phases of oscillators are locked, while the amplitudes remain chaotic. We demonstrate that the coexistence of several clusters of mutually synchronized elements and global synchronization of all oscillators is possible. Two mechanisms of the transition to global synchronization are shown. The dynamics of spatiotemporal defects is discussed for the cases of phase-coherent and funnel R\"ossler oscillators.

Details

ISSN :
10953787 and 1063651X
Volume :
55
Database :
OpenAIRE
Journal :
Physical Review E
Accession number :
edsair.doi...........a00158771ca11465dbb3c385c25af595
Full Text :
https://doi.org/10.1103/physreve.55.2353