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Pulsating solitons, chaotic solitons, period doubling, and pulse coexistence in mode-locked lasers: Complex Ginzburg-Landau equation approach

Nail AkhmedievOptical Sciences Centre, Research School of Physical Sciences and Engineering, Institute of Advanced Studies, Australian National University, Australian Capital Territory 0200, AustraliaJ. M. Soto‐CrespoInstituto de Óptica, Consejo Superior de Investigaciones Cientificas, Serrano 121, 28006 Madrid, SpainGraham TownSchool of Electrical and Information Engineering (J03), University of Sydney, NSW 2006, Australia
2001en
ABI

Аннотация

The complex Ginzburg-Landau equation (CGLE) is a standard model for pulse generation in mode-locked lasers with fast saturable absorbers. We have found complicated pulsating behavior of solitons of the CGLE and regions of their existence in the five-dimensional parameter space. We have found zero-velocity, moving and exploding pulsating localized structures, period doubling (PD) of pulsations and the sequence of PD bifurcations. We have also found chaotic pulsating solitons. We have plotted regions of parameters of the CGLE where pulsating solutions exist. We also demonstrate the coexistence (bi- and multistability) of different types of pulsating solutions in certain regions of the parameter space of the CGLE.

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