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Oscillating kinks in forced oscillatory media: A new type of instability

Oliver Rudzick
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Abstract

A new type of instability resulting in oscillatory propagating kinks is presented. It is observed in periodically forced oscillatory media at 1:1 resonance, where phase kinks have close similarities to pulses in excitable media. Considering the periodically forced complex Ginzburg-Landau equation, examples for transitions involving oscillating kinks between different dynamical regimes are described. The oscillatory instability is discussed within the framework of a bifurcation analysis of the kink profiles

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Oliver Rudzick. 2004-07-07. Oscillating kinks in forced oscillatory media: A new type of instability. https://arxiv.org/abs/nlin/0407017

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