Multiplicative noise can lead to the collapse of dissipative solitons

Orazio Descalzi, Carlos Cartes, Helmut R. Brand

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We investigate the influence of spatially homogeneous multiplicative noise on the formation of localized patterns in the framework of the cubic-quintic complex Ginzburg-Landau equation. We find that for sufficiently large multiplicative noise the formation of stationary and temporally periodic dissipative solitons is suppressed. This result is characterized by a linear relation between the bifurcation parameter and the noise amplitude required for suppression. For the regime associated with exploding dissipative solitons we find a reduction in the number of explosions for larger noise strength as well as a conversion to other types of dissipative solitons or to filling-in and eventually a collapse to the zero solution.
Original languageAmerican English
JournalPhysical Review E
Issue number1
StatePublished - 18 Jul 2016


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