Wavevector resonance in a nonlinear multi-wavespeed chaotic billiard

Details Wavevector resonance in a nonlinear multi-wavespeed chaotic billiard Wavevector resonance in a nonlinear multi-wavespeed chaotic billiard

2006-01-06

arxiv.org/abs/nlin/0601018v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

Nonlinear 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.

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