Pramana

, Volume 64, Issue 6, pp 927–937 | Cite as

Pattern formations in chaotic spatio-temporal systems

  • Ying Zhang
  • Shihong Wang
  • Jinhua Xiao
  • Hilda A. Cerdeira
  • S. Chen
  • Gang Hu
Article
  • 42 Downloads

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 

PACS Nos

05.45.Xt 05.45.Jn 
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Copyright information

© Indian Academy of Sciences 2005

Authors and Affiliations

  • Ying Zhang
    • 1
  • Shihong Wang
    • 2
  • Jinhua Xiao
    • 2
  • Hilda A. Cerdeira
    • 3
  • S. Chen
    • 4
  • Gang Hu
    • 1
    • 5
  1. 1.Department of PhysicsBeijing Normal UniversityBeijingChina
  2. 2.Department of Basic ScienceBeijing University Posts & TelecommunicationsBeijingChina
  3. 3.The Abdus Salam International Centre for Theoretical PhysicsTriesteItaly
  4. 4.Institute of Applied Physics and Computational MathematicsBeijingChina
  5. 5.Beijing-Hong Kong-Singapore Joint Center of Nonlinear and Complex SystemsBeijing Normal University BranchBeijingChina

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