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arXiv · 1909.13554

Dynamics of spiral waves in the complex Ginzburg-Landau equation in bounded domains

M. Aguareles·S. J. Chapman·T. Witelski
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Abstract

Multiple-spiral-wave solutions of the general cubic complex Ginzburg-Landau equation in bounded domains are considered. We investigate the effect of the boundaries on spiral motion under homogeneous Neumann boundary conditions, for small values of the twist parameter $q$. We derive explicit laws of motion for rectangular domains and we show that the motion of spirals becomes exponentially slow when the twist parameter exceeds a critical value depending on the size of the domain. The oscillation frequency of multiple-spiral patterns is also analytically obtained.

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M. Aguareles, S. J. Chapman, T. Witelski. 2019-09-30. Dynamics of spiral waves in the complex Ginzburg-Landau equation in bounded domains. https://doi.org/10.1016/j.physd.2020.132699

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