Riddling of the Orbit in a High Dimensional Torus and Intermittent Energy Bursts in a Nonlinear Wave System

Abstract

The bifurcation scenario in a practically interesting nonlinear wave system is investigated by using a new scheme that is performed in a purely nonlinear wave framework with the Doppler effect taken into account. High-dimensional tori with three or four competing frequencies are observed. With variation of parameters a riddling of the orbit may occur intermittently due to tangency in certain dimensions, which temporarily spoils the toroidal topology and induces an energy burst where spatial coherence of the wave is lost.