Breakup of spiral wave under different boundary conditions
Zhao Ying-Kui(赵英奎)a)b)†, Wang Guang-Rui(王光瑞)b), and Chen Shi-Gang (陈式刚)b)
a Graduate School of China Academy of Engineering Physics, Beijing 100088, China; b Center for Nonlinear Studies, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
Abstract In this paper, we investigate the breakup of spiral wave under no-flux, periodic and Dirichlet boundary conditions respectively. When the parameter $\varepsilon$ is close to a critical value for Doppler-induced wave breakup, the instability of the system caused by the boundary effect occurs in the last two cases, resulting in the breakup of spiral wave near the boundary. With our defined average order measure of spiral wave (AOMSW), we quantify the degree of order of the system when the boundary-induced breakup of spiral wave happens. By analysing the AOMSW and outer diameter R of the spiral tip orbit, it is easy to find that this boundary effect is correlated with large values of R, especially under the Dirichlet boundary condition. This correlation is nonlinear, so the AOMSW sometimes oscillates with the variation of $\varepsilon$.
Received: 11 July 2006
Revised: 08 November 2006
Accepted manuscript online:
Fund: Project
supported by the Major Program of the National Natural Science
Foundation for (Grant No 10335010) and the National Natural Science Foundation--the Science Foundation of China Academy of Engineering Physics (NSAF) (Grant No 10576005).
Cite this article:
Zhao Ying-Kui(赵英奎), Wang Guang-Rui(王光瑞), and Chen Shi-Gang (陈式刚) Breakup of spiral wave under different boundary conditions 2007 Chinese Physics 16 1159
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