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Chaotic breathers in delayed electro-optical systems

AuthorsChembo Kouomou, Yanne; Colet, Pere ; Larger, Laurent ; Gastaud, Nicolas
KeywordsOptical chaos
Integro-differential equations
Optical feedback
Mach-Zehnder interferometers
Semiconductor lasers
Electro-optical effects
Electro-optical modulation
Nonlinear optics
Nonlinear dynamical systems
Issue Date9-Nov-2005
PublisherAmerican Physical Society
CitationPhysical Review Letters 95, 203903 (2005)
AbstractWe show that in integro-differential delayed dynamical systems, a hybrid state of simultaneous fastscale chaos and slow-scale periodicity can emerge subsequently to a sequence of Hopf bifurcations. The resulting time trace thereby consists in chaotic oscillations "breathing" periodically at a significantly lower frequency. Experimental evidence of this type of dynamics in delayed dynamical systems is achieved with a Mach-Zehnder modulator optically fed by a semiconductor laser and is subjected to a delayed nonlinear electro-optical feedback. We also propose a theoretical understanding of the phenomenon.
Description4 pages, 6 figures.-- PACS nrs.: 42.65.Sf, 05.45.Jn.-- PMID: 16384058 [PubMed].
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevLett.95.203903
Appears in Collections:(IFISC) Artículos
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