The Complex Ginzburg-Landau Equation in the Presence of Walls and Corners

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dc.creatorEguiluz, Victor M.
dc.creatorHernandez-Garcia, Emilio
dc.creatorPiro, Oreste
dc.date2000-12-11
dc.date.accessioned2026-07-07T08:28:04Z
dc.date.available2026-07-07T08:28:04Z
dc.descriptionWe investigate the influence of walls and corners (with Dirichlet and Neumann boundary conditions) in the evolution of twodimensional autooscillating fields described by the complex Ginzburg-Landau equation. Analytical solutions are found, and arguments provided, to show that Dirichlet walls introduce strong selection mechanisms for the wave pattern. Corners between walls provide additional synchronization mechanisms and associated selection criteria. The numerical results fit well with the theoretical predictions in the parameter range studied.
dc.description10 pages, 9 figures; for related work visit http://www.nbi.dk/~martinez
dc.identifierhttps://arxiv.org/abs/nlin/0012024
dc.identifierhttp://arxiv.org/abs/nlin/0012024
dc.identifierPhysical Review E 64, 036205 (2001)
dc.identifierdoi:10.1103/PhysRevE.64.036205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137483
dc.subjectChaotic Dynamics
dc.subjectPattern Formation and Solitons
dc.titleThe Complex Ginzburg-Landau Equation in the Presence of Walls and Corners
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