Excitability mediated by localized structures

Details Excitability mediated by localized structures Excitability mediated by localized structures

2004-11-22

arxiv.org/abs/nlin/0411047v2

Phys. Rev. Lett. 94, 063905 (2005)

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 5 figures; v2 minor changes + 1 new ref

Scientific paper

10.1103/PhysRevLett.94.063905

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.

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