Breakup of spiral wave under different boundary conditions |
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Authors: | Zhao Ying-Kui Wang Guang-Rui and Chen Shi-Gang |
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Institution: | Graduate School of China Academy of Engineering Physics, Beijing 100088, China;Center for Nonlinear Studies, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China |
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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. |
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Keywords: | spiral breakup boundary reaction-diffusion |
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