Bifurcating vortex solutions of the complex Ginzburg-Landau equation

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dc.creatorKaper, Hans G.
dc.creatorTakac, Peter
dc.date1999-06-25
dc.date.accessioned2026-07-07T05:29:39Z
dc.date.available2026-07-07T05:29:39Z
dc.descriptionIt is shown that the complex Ginzburg-Landau (CGL) equation on the real line admits nontrivial $2π$-periodic vortex solutions that have $2n$ simple zeros (``vortices'') per period. The vortex solutions bifurcate from the trivial solution and inherit their zeros from the solution of the linearized equation. This result rules out the possibility that the vortices are determining nodes for vortex solutions of the CGL equation.
dc.descriptionTo appear in Discrete and Continuous Dynamical Systems (1999); 10 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/9906172
dc.identifierhttp://arxiv.org/abs/math/9906172
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78722
dc.subjectDynamical Systems
dc.subject35K55, 35Q35, 58F14
dc.titleBifurcating vortex solutions of the complex Ginzburg-Landau equation
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