中国物理B ›› 2008, Vol. 17 ›› Issue (8): 2844-2849.doi: 10.1088/1674-1056/17/8/016

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Stabilization of spiral wave and turbulence in the excitable media using parameter perturbation scheme

靳伍银1, 王春妮2, 李延龙2, 蒲忠胜2, 马 军3   

  1. (1)Colleges of Mechano-Electronic Engineering, Lanzhou University of Technology, Lanzhou 730050, China; (2)Department of Physics, Lanzhou university of Technology, Lanzhou 730050, China; (3)Department of Physics, Lanzhou university of Technology, Lanzhou 730050, China;Department of Physics, Central China Normal University, Wuhan 430079, China
  • 收稿日期:2007-08-01 修回日期:2007-11-27 出版日期:2008-08-20 发布日期:2008-08-20
  • 基金资助:
    Project Partially supported by the National Natural Science Foundation of China (Grant Nos 10572056, 10747005 and 30670529).

Stabilization of spiral wave and turbulence in the excitable media using parameter perturbation scheme

Ma Jun(马军)a)c)†, Wang Chun-Ni(王春妮)a), Jin Wu-Yin(靳伍银)b), Li Yan-Long(李延龙)a), and Pu Zhong-Sheng(蒲忠胜)a)   

  1. a Department of Physics, Lanzhou university of Technology, Lanzhou 730050, China; b Colleges of Mechano-Electronic Engineering, Lanzhou University of Technology, Lanzhou 730050, China; c Department of Physics, Central China Normal University, Wuhan 430079, China
  • Received:2007-08-01 Revised:2007-11-27 Online:2008-08-20 Published:2008-08-20
  • Supported by:
    Project Partially supported by the National Natural Science Foundation of China (Grant Nos 10572056, 10747005 and 30670529).

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摘要： This paper proposes a scheme of parameter perturbation to suppress the stable rotating spiral wave, meandering spiral wave and turbulence in the excitable media, which is described by the modified Fitzhugh--Nagumo (MFHN) model. The controllable parameter in the MFHN model is perturbed with a weak pulse and the pulse period is decided by the rotating period of the spiral wave approximatively. It is confirmed that the spiral wave and spiral turbulence can be suppressed greatly. Drift and instability of spiral wave can be observed in the numerical simulation tests before the whole media become homogeneous finally.

关键词: spiral wave, spiral turbulence, parameter perturbation

Abstract: This paper proposes a scheme of parameter perturbation to suppress the stable rotating spiral wave, meandering spiral wave and turbulence in the excitable media, which is described by the modified Fitzhugh--Nagumo (MFHN) model. The controllable parameter in the MFHN model is perturbed with a weak pulse and the pulse period is decided by the rotating period of the spiral wave approximatively. It is confirmed that the spiral wave and spiral turbulence can be suppressed greatly. Drift and instability of spiral wave can be observed in the numerical simulation tests before the whole media become homogeneous finally.

Key words: spiral wave, spiral turbulence, parameter perturbation

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
87.10.-e (General theory and mathematical aspects)