Noisy localized structures induced by large noise

Orazio Descalzi, Carlos Cartes, Helmut R. Brand

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5 Scopus citations

Abstract

We investigate the influence of large noise on the formation of localized patterns in the framework of the cubic-quintic complex Ginzburg-Landau equation. The interaction of localization and noise can lead to filling in or noisy localized structures for fixed noise strength. To focus on the interaction between noise and localization we cover a region in parameter space, in particular, subcriticality, for which stationary stable deterministic pulses do not exist. Possible experimental tests of the work presented for autocatalytic chemical reactions and bioinspired systems are outlined.

Original languageEnglish
Article number020901
JournalPhysical Review E
Volume91
Issue number2
DOIs
StatePublished - 20 Feb 2015

Bibliographical note

Publisher Copyright:
© 2015 American Physical Society.

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