Bifurcation of standing waves into a pair of oppositely traveling waves with oscillating amplitudes caused by a three-mode interaction

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dc.creatorPinter, A.
dc.creatorLücke, M.
dc.creatorHoffmann, Ch.
dc.date2007-08-31
dc.date2008-07-24
dc.date.accessioned2026-07-07T09:52:12Z
dc.date.available2026-07-07T09:52:12Z
dc.descriptionA novel flow state consisting of two oppositely travelling waves (TWs) with oscillating amplitudes has been found in the counterrotating Taylor-Couette system by full numerical simulations. This structure bifurcates out of axially standing waves that are nonlinear superpositions of left and right handed spiral vortex waves with equal time-independent amplitudes. Beyond a critical driving the two spiral TW modes start to oscillate in counterphase due to a Hopf bifurcation. The trigger for this bifurcation is provided by a nonlinearly excited mode of different symmetry than the spiral TWs. A three-mode coupled amplitude equation model is presented that captures this bifurcation scenario. The mode-coupling between two symmetry degenerate critical modes and a nonlinearly excited one that is contained in the model can be expected to occur in other structure forming systems as well.
dc.description4 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/0708.4357
dc.identifierhttp://arxiv.org/abs/0708.4357
dc.identifierPhys. Rev. E 78, 015304(R), 1-4 (2008)
dc.identifierdoi:10.1103/PhysRevE.78.015304
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165509
dc.subjectPattern Formation and Solitons
dc.subjectComputational Physics
dc.subjectFluid Dynamics
dc.titleBifurcation of standing waves into a pair of oppositely traveling waves with oscillating amplitudes caused by a three-mode interaction
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