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Pattern formations in chaotic spatio-temporal systems
Authors:Ying Zhang  Shihong Wang  Jinhua Xiao  Hilda A. Cerdeira  S. Chen  Gang Hu
Affiliation:(1) Department of Physics, Beijing Normal University, 100875 Beijing, China;(2) Department of Basic Science, Beijing University Posts & Telecommunications, 100876 Beijing, China;(3) The Abdus Salam International Centre for Theoretical Physics, P.O. Box 586, 34100 Trieste, Italy;(4) Institute of Applied Physics and Computational Mathematics, 100088 Beijing, China;(5) Beijing-Hong Kong-Singapore Joint Center of Nonlinear and Complex Systems, Beijing Normal University Branch, Beijing, China
Abstract:Pattern formations in chaotic spatio-temporal systems modelled by coupled chaotic oscillators are investigated. We focus on various symmetry breakings and different kinds of chaos synchronization-desynchronization transitions, which lead to certain types of spontaneous spatial orderings and the emergence of some typical ordered patterns, such as rotating wave patterns with splay phase ordering (orientational symmetry breaking) and partially synchronous standing wave patterns with in-phase ordering (translational symmetry breaking). General pictures of the global behaviors of pattern formations and transitions in coupled chaotic oscillators are provided.
Keywords:Chaotic pattern formation  symmetry breaking  partial chaos synchronization
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