中国物理B ›› 2007, Vol. 16 ›› Issue (4): 1159-1166.doi: 10.1088/1009-1963/16/4/051
王光瑞1, 陈式刚1, 赵英奎2
Zhao Ying-Kui(赵英奎)a)b)†, Wang Guang-Rui(王光瑞)b), and Chen Shi-Gang (陈式刚)b)
摘要: 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.
中图分类号: (Nonlinear dynamics and chaos)