Hu G, Zhang Y, Cerdeira HA, Chen S. From low-dimensional synchronous chaos to high-dimensional desynchronous spatiotemporal chaos in coupled systems.
PHYSICAL REVIEW LETTERS 2000;
85:3377-3380. [PMID:
11030900 DOI:
10.1103/physrevlett.85.3377]
[Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/08/2000] [Indexed: 05/23/2023]
Abstract
The dynamic behavior of coupled chaotic oscillators is investigated. For small coupling, chaotic state undergoes a transition from a spatially disordered phase to an ordered phase with an orientation symmetry breaking. For large coupling, a transition from full synchronization to partial synchronization with translation symmetry breaking is observed. Two bifurcation branches, one in-phase branch starting from synchronous chaos and the other antiphase branch bifurcated from spatially random chaos, are identified by varying coupling strength epsilon. Hysteresis, bistability, and first-order transitions between these two branches are observed.
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