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

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

2004-07-07

arxiv.org/abs/nlin/0407017v1

Nonlinear Sciences

Pattern Formation and Solitons

7 pages, Latex, submitted to Phys. Rev. E, mpeg simulations available at http://www.rudzick.de/kink.html

Scientific paper

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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