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

Journal Article

© 2020 Elsevier B.V. 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.

Full Text

Duke Authors

Cited Authors

  • Aguareles, M; Chapman, SJ; Witelski, T

Published Date

  • December 15, 2020

Published In

Volume / Issue

  • 414 /

International Standard Serial Number (ISSN)

  • 0167-2789

Digital Object Identifier (DOI)

  • 10.1016/j.physd.2020.132699

Citation Source

  • Scopus