Noise can induce explosions for dissipative solitons

Carlos Cartes, Orazio Descalzi, Helmut R. Brand

Research output: Contribution to journalArticlepeer-review

48 Scopus citations

Abstract

We study the influence of noise on the spatially localized, temporally regular states (stationary, one frequency, two frequencies) in the regime of anomalous dispersion for the cubic-quintic complex Ginzburg-Landau equation as a function of the bifurcation parameter. We find that noise of a fairly small strength η is sufficient to reach a chaotic state with exploding dissipative solitons. That means that noise can induce explosions over a fairly large range of values of the bifurcation parameter μ. Three different routes to chaos with exploding dissipative solitons are found as a function of μ. As diagnostic tools we use the separation to characterize chaotic behavior and the energy to detect spatially localized explosive behavior as a function of time.
Original languageAmerican English
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume85
Issue number1
DOIs
StatePublished - 31 Jan 2012

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