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Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (8): 911-916.

• 论文 • 上一篇    下一篇

STRUCTURE OF WAVE FRONT AND ORGANIZATION CENTER IN EXCITABLE MEDIA

刘深泉   

  1. Department of Applied Mathematics, South China University of Technology, Guangzhou 510640, P. R. China
  • 收稿日期:2002-09-05 修回日期:2003-12-23 出版日期:2004-08-18 发布日期:2004-08-18
  • 基金资助:
    the National Natural Science Foundation of China(19902005)

STRUCTURE OF WAVE FRONT AND ORGANIZATION CENTER IN EXCITABLE MEDIA

LIU Shen-quan   

  1. Department of Applied Mathematics, South China University of Technology, Guangzhou 510640, P. R. China
  • Received:2002-09-05 Revised:2003-12-23 Online:2004-08-18 Published:2004-08-18
  • Supported by:
    the National Natural Science Foundation of China(19902005)

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摘要： With help of establishing the moving coordinate on the wave front surface and the perturbation analysis in the boundary layer,the structures of wave front and organization center in excitable media were studied. The eikonal equation of wave front surface and general equation of organization center were obtained. These eikonal equations reveal the wave front surfaces have structures of twisted scroll wave and Mbius band, the organization centers have structures of knotted and linked ring. These theoretical results not only explain the wave patterns of BZ(Belousov-Zhabotinskii)chemical reaction but also give several possibility structures of wave front surface and organization center in general excitable media.

关键词: excitable media, wave front, organization center

Abstract: With help of establishing the moving coordinate on the wave front surface and the perturbation analysis in the boundary layer,the structures of wave front and organization center in excitable media were studied. The eikonal equation of wave front surface and general equation of organization center were obtained. These eikonal equations reveal the wave front surfaces have structures of twisted scroll wave and Mbius band, the organization centers have structures of knotted and linked ring. These theoretical results not only explain the wave patterns of BZ(Belousov-Zhabotinskii)chemical reaction but also give several possibility structures of wave front surface and organization center in general excitable media.

Key words: excitable media, wave front, organization center

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