On the steadily rotating spirals

Jong Shenq Guo, Ken Ichi Nakamura, Toshiko Ogiwara, Je Chiang Tsai

研究成果: 雜誌貢獻期刊論文同行評審

8 引文 斯高帕斯(Scopus)


We study an autonomous system of two first order ordinary differential equations. This system arises from a model for steadily rotating spiral waves in excitable media. The sharply located spiral wave fronts are modeled as planar curves. Their normal velocity is assumed to depend affine linearly on curvature. The spiral tip rotates along a circle with a constant positive rotation frequency. The tip neither grows nor retracts tangentially to the curve. With rotation frequency as a parameter, we obtain the complete classification of solutions of this system. Besides providing another approach to derive the results obtained by Fiedler-Guo-Tsai for spirals with positive curvature, we also obtain many more different solutions. In particular, we obtain spiral wave solutions with sign-changing curvature and with negative curvature.

頁(從 - 到)1-19
期刊Japan Journal of Industrial and Applied Mathematics
出版狀態已發佈 - 2006 二月

ASJC Scopus subject areas

  • Engineering(all)
  • Applied Mathematics

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