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The dynamics of spiral waves in three-layer excitable medium with circular feedback coupling

Li Guang-Zhao Chen Yong-Qi Tang Guo-Ning

The dynamics of spiral waves in three-layer excitable medium with circular feedback coupling

Li Guang-Zhao, Chen Yong-Qi, Tang Guo-Ning
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Publishing process
  • Received Date:  11 November 2010
  • Accepted Date:  05 May 2011
  • Published Online:  05 January 2012

The dynamics of spiral waves in three-layer excitable medium with circular feedback coupling

  • 1. College of Physics and Technology, Guangxi Normal University, Guilin 541004, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 11165004, 10765002 and 10947011).

Abstract: The dynamics of spiral wave in a three-layer excitable medium with circular feedback coupling is studied, based on the Bär model. The numerical results show that the drifting or meandering of spiral waves in the subsystems can be observed when the coupling strength is small. When the coupling strength is slightly big, the interaction between subsystems may cause spiral waves in some subsystems to move out of the boundaries of the subsystems. The subsystems return to rest state. In addition, the interaction may generate the transition from spiral wave state to target wave or turbulence states in some subsystems. The phenomenon that the asymptotic state of a subsystem depends on the initiation condition is observed. With the further increase of the coupling strength, the approximate generalized synchronization of the spiral waves in three subsystems is established. When the coupling strength is bigger, the spiral waves evolve into turbulence.

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