From Low-Dimensional Synchronous Chaos to High-Dimensional Desynchronous Spatiotemporal Chaos in Coupled Systems | Zendy

Gang Hu | Zendy; Ying Zhang | Zendy; Hilda A. Cerdeira | Zendy; X. T. He | Zendy

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From Low-Dimensional Synchronous Chaos to High-Dimensional Desynchronous Spatiotemporal Chaos in Coupled Systems

Author(s) -

Gang Hu,

Ying Zhang,

Hilda A. Cerdeira,

X. T. He

Publication year - 2000

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.85.3377

Subject(s) - bistability , physics , coupling (piping) , bifurcation , chaotic , hysteresis , synchronization (alternating current) , synchronization of chaos , symmetry (geometry) , symmetry breaking , chaos (operating system) , phase transition , coupling strength , coupled map lattice , phase (matter) , statistical physics , translational symmetry , condensed matter physics , topology (electrical circuits) , nonlinear system , quantum mechanics , control theory (sociology) , mathematics , materials science , computer science , geometry , control (management) , computer security , artificial intelligence , combinatorics , metallurgy

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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