Wavevector resonance in a nonlinear multi-wavespeed chaotic billiard
混沌动力学
2007-05-23 v1
摘要
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.
引用
@article{arxiv.nlin/0601018,
title = {Wavevector resonance in a nonlinear multi-wavespeed chaotic billiard},
author = {Alexei Akolzin and Richard L. Weaver},
journal= {arXiv preprint arXiv:nlin/0601018},
year = {2007}
}