Heteroclinic dynamics in a model of Faraday waves in a square container
作者： Jeff Moehlis , Jeff Porter , Edgar Knobloch
DOI: 10.1016/J.PHYSD.2009.02.011
关键词: Mathematics 、 Faraday cage 、 Surface wave 、 Heteroclinic cycle 、 Heteroclinic bifurcation 、 Quasiperiodic function 、 Hamiltonian (quantum mechanics) 、 Faraday wave 、 Bifurcation 、 Classical mechanics 、 Statistical and Nonlinear Physics 、 Condensed matter physics
摘要: We study periodic orbits associated with heteroclinic bifurcations in a model of the Faraday system for containers square cross-section and single-frequency forcing. These correspond to quasiperiodic surface waves physical system. The are related continuum connections integrable Hamiltonian limit, some which persist presence small damping. dynamics neighborhood one examined detail using approximate Poincare maps, predictions that agree numerical computations. results suggest great richness possible even simple geometries
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