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Excitability mediated by localized structures in a dissipative nonlinear optical cavity

AuthorsGomila, Damià ; Matías, Manuel A. ; Colet, Pere
KeywordsCavity resonators
Optical resonators
Nonlinear optics
Issue Date18-Feb-2005
PublisherAmerican Physical Society
CitationPhysical Review Letters 94, 063905 (1-4) (2005)
AbstractWe 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. DOI: 10.1103/PhysRevLett.94.063905
Description4 pages.-- PACS nrs.: 42.65.Sf, 05.45.–a, 89.75.Fb.-- ArXiv pre-print: http://arxiv.org/abs/nlin.PS/0411047
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevLett.94.063905
Appears in Collections:(IFISC) Artículos
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