Holes and chaotic pulses of traveling waves coupled to a long-wave mode
arXiv:chao-dyn/9701017 · doi:10.1016/S0375-9601(97)00677-4
Abstract
Localized traveling-wave pulses and holes, i.e. localized regions of vanishing wave amplitude, are investigated in a real Ginzburg-Landau equation coupled to a long-wave mode. In certain parameter regimes the pulses exhibit a Hopf bifurcation which leads to a breathing motion. Subsequently the oscillations undergo period-doubling bifurcations and become chaotic.
12 pages, 6 figures, LaTex