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Bifurcations from Stationary to Pulsating Solitons in the Cubic-Quintic Complex Ginzburg-Landau Equation

Tsoy, E; Akhmediev, Nail

Description

Stationary to pulsating soliton bifurcation analysis of the complex Ginzburg-Landau equation (CGLE) is presented. The analysis is based on a reduction from an infinite-dimensional dynamical dissipative system to a finite-dimensional model. Stationary solitons, with constant amplitude and width, are associated with fixed points in the model. For the first time, pulsating solitons are shown to be stable limit cycles in the finite-dimensional dynamical system. The boundaries between the two types...[Show more]

CollectionsANU Research Publications
Date published: 2005
Type: Journal article
URI: http://hdl.handle.net/1885/79875
Source: Physics Letters A
DOI: 10.1016/j.physleta.2005.05.102

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