Holes and chaotic pulses of traveling waves coupled to a long-wave mode

Details Holes and chaotic pulses of traveling waves coupled to a long-wave mode Holes and chaotic pulses of traveling waves coupled to a long-wave mode

1997-01-20

arxiv.org/abs/chao-dyn/9701017v2

Nonlinear Sciences

Chaotic Dynamics

12 pages, 6 figures, LaTex

Scientific paper

10.1016/S0375-9601(97)00677-4

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.

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