Oscillating kinks in forced oscillatory media: A new type of instability
Pattern Formation and Solitons
2007-05-23 v1
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
Keywords
Cite
@article{arxiv.nlin/0407017,
title = {Oscillating kinks in forced oscillatory media: A new type of instability},
author = {Oliver Rudzick},
journal= {arXiv preprint arXiv:nlin/0407017},
year = {2007}
}
Comments
7 pages, Latex, submitted to Phys. Rev. E, mpeg simulations available at http://www.rudzick.de/kink.html