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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (4): 418-425.

• 论文 • 上一篇    下一篇

THE MOTION OF ORGANIZATION CENTER OF SCROLL WAVES IN EXCITABLE MEDIA WITH SINGLE DIFFUSION

刘深泉, 陆启韶, 黄克累   

  1. Department of Applied Mathematics and Physics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China
  • 收稿日期:1996-12-16 修回日期:1997-03-25 出版日期:1999-04-18 发布日期:1999-04-18
  • 基金资助:
    Project supported by the National Natural Science Foundation of China(19872010);Doctoral Foundation of National Educational Committe;Aeronautical Science Foundation of China(98B51125)

THE MOTION OF ORGANIZATION CENTER OF SCROLL WAVES IN EXCITABLE MEDIA WITH SINGLE DIFFUSION

Liu Shenquan, Lu Qishao, Huang Kelei   

  1. Department of Applied Mathematics and Physics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China
  • Received:1996-12-16 Revised:1997-03-25 Online:1999-04-18 Published:1999-04-18
  • Supported by:
    Project supported by the National Natural Science Foundation of China(19872010);Doctoral Foundation of National Educational Committe;Aeronautical Science Foundation of China(98B51125)

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摘要： The motion of organization center of three-dimensional untwisted scroll waves in excitable media with single diffusion is studied by singular perturbation method in this paper. The relation of curvature and the linear law are derived for untwisted organization center. These results have explicit physical meaning and are in good agreement with experiments.

关键词: single diffusion, scroll waves, organization center, vortex ring, excitable media

Abstract: The motion of organization center of three-dimensional untwisted scroll waves in excitable media with single diffusion is studied by singular perturbation method in this paper. The relation of curvature and the linear law are derived for untwisted organization center. These results have explicit physical meaning and are in good agreement with experiments.

Key words: single diffusion, scroll waves, organization center, vortex ring, excitable media

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