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Stochastic resonance in the presence of spatially localized structures

AuthorsRabbiosi, Ivan; Scroggie, Andrew J.; Oppo, Gian-Luca
Keywords[PACS] Chaos
[PACS] Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics
[PACS] Nonlinearity (including bifurcation theory)
[PACS] Stochastic processes
Issue Date8-Sep-2003
PublisherAmerican Physical Society
CitationPhysical Review E 68(3): 036602 (2003)
AbstractStable spatially localized structures exist in a wide variety of spatially extended nonlinear systems, including nonlinear optical devices. We study stochastic resonance (SR) in models of optical parametric oscillators in the presence of a spatially uniform time-periodic driving and in a regime where two equivalent states with equal intensity but opposite phase exist. Diffraction and nonlinearity enable the existence of localized states, formed by the locking of kinks and antikinks and displaying spatially damped oscillatory tails (in one dimension) or the stabilization of dark ring cavity solitons (in two dimensions). We show that SR is inhibited at low driving amplitudes by the presence of localized states which obstruct the front motion. For larger driving amplitudes, in the regime where localized states cease to be stable, we observe instead an enhancement of SR.
Description10 pages, 11 figures.-- PACS nrs.: 47.52.+j, 42.65.Sf, 47.20.Ky, 02.50.Ey.
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevE.68.036602
Appears in Collections:(IFISC) Artículos
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