Excitability mediated by localized structures
斑图形成与孤子
2007-05-23 v2 统计力学
动力系统
光学
摘要
We find and characterize an excitability regime mediated by localized structures in a dissipative nonlinear optical cavity. The scenario is that stable localized structures exhibit a Hopf bifurcation to self-pulsating behavior, that is followed by the destruction of the oscillation in a saddle-loop bifurcation. Beyond this point there is a regime of excitable localized structures under the application of suitable perturbations. Excitability emerges from the spatial dependence since the system does not exhibit any excitable behavior locally. We show that the whole scenario is organized by a Takens-Bogdanov codimension-2 bifurcation point.
引用
@article{arxiv.nlin/0411047,
title = {Excitability mediated by localized structures},
author = {Damia Gomila and Manuel A. Matias and Pere Colet},
journal= {arXiv preprint arXiv:nlin/0411047},
year = {2007}
}
备注
4 pages, 5 figures; v2 minor changes + 1 new ref