Modulated Amplitude Waves and the Transition from Phase to Defect Chaos

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dc.creatorBrusch, Lutz
dc.creatorZimmermann, Martin G.
dc.creatorvan Hecke, Martin
dc.creatorBaer, Markus
dc.creatorTorcini, Alessandro
dc.date2000-01-31
dc.date2000-05-18
dc.date.accessioned2026-07-07T05:32:39Z
dc.date.available2026-07-07T05:32:39Z
dc.descriptionThe mechanism for transitions from phase to defect chaos in the one-dimensional complex Ginzburg-Landau equation (CGLE) is presented. We introduce and describe periodic coherent structures of the CGLE, called Modulated Amplitude Waves (MAWs). MAWs of various period P occur naturally in phase chaotic states. A bifurcation study of the MAWs reveals that for sufficiently large period P, pairs of MAWs cease to exist via a saddle-node bifurcation. For periods beyond this bifurcation, incoherent near-MAW structures occur which evolve toward defects. This leads to our main result: the transition from phase to defect chaos takes place when the periods of MAWs in phase chaos are driven beyond their saddle-node bifurcation.
dc.description4 pages, 5 figures minor changes in the text
dc.identifierhttps://arxiv.org/abs/nlin/0001068
dc.identifierhttp://arxiv.org/abs/nlin/0001068
dc.identifierPhys. Rev. Lett. 85, 86 (2000)
dc.identifierdoi:10.1103/PhysRevLett.85.86
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79733
dc.subjectChaotic Dynamics
dc.subjectDisordered Systems and Neural Networks
dc.subjectDynamical Systems
dc.subjectPattern Formation and Solitons
dc.subjectFluid Dynamics
dc.titleModulated Amplitude Waves and the Transition from Phase to Defect Chaos
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