Author
Aguareles, M
Chapman, S
Witelski, T
Journal title
Physica D: Nonlinear Phenomena
DOI
10.1016/j.physd.2020.132699
Volume
414
Last updated
2024-03-25T09:21:20.897+00:00
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 . 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.
Symplectic ID
1131196
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Publication type
Journal Article
Publication date
11 Sep 2020
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