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

Henar Herrero; Hermann Riecke

doi:10.1016/s0375-9601(97)00677-4

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arXiv · chao-dyn/9701017

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

Henar Herrero·Hermann Riecke

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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.

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Henar Herrero, Hermann Riecke. 1997-01-24. Holes and chaotic pulses of traveling waves coupled to a long-wave mode. https://doi.org/10.1016/s0375-9601(97)00677-4

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