Noise can induce explosions for dissipative solitons

Carlos Cartes*, Orazio Descalzi, Helmut R. Brand

*Autor correspondiente de este trabajo

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

48 Citas (Scopus)

Resumen

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.
Idioma originalInglés
Número de artículo015205
PublicaciónPhysical Review E
Volumen85
N.º1
DOI
EstadoPublicada - 31 ene 2012

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