Wavevector resonance in a nonlinear multi-wavespeed chaotic billiard

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dc.creatorAkolzin, Alexei
dc.creatorWeaver, Richard L.
dc.date2006-01-06
dc.date.accessioned2026-07-07T06:59:34Z
dc.date.available2026-07-07T06:59:34Z
dc.descriptionNonlinear coupling between eigenmodes of a system leads to spectral energy redistribution. For multi-wavespeed chaotic billiards the average coupling strength can exhibit sharp discontinuities as a function of frequency related to wavevector coincidences between constituent waves of different wavespeeds. The phenomenon is investigated numerically for an ensemble of 2D square two-wavespeed billiards with rough boundaries and quadratic nonlinearity representative of elastodynamic waves. Results of direct numerical simulations are compared with theoretical predictions.
dc.identifierhttps://arxiv.org/abs/nlin/0601018
dc.identifierhttp://arxiv.org/abs/nlin/0601018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107794
dc.subjectChaotic Dynamics
dc.titleWavevector resonance in a nonlinear multi-wavespeed chaotic billiard
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