Reciprocal oscillons and nonmonotonic fronts in forced nonequilibrium systems

Arik Yochelis, John Burke, Edgar Knobloch

Research output: Contribution to journalArticlepeer-review

36 Scopus citations

Abstract

The formation of oscillons in a synchronously oscillating background is studied in the context of both damped and self-exciting oscillatory media. Using the forced complex Ginzburg-Landau equation we show that such states bifurcate from finite amplitude homogenous states near the 2:1 resonance boundary. In each case we identify a region in parameter space containing a finite multiplicity of coexisting stable oscillons with different structure. Stable time-periodic monotonic and nonmonotonic frontlike states are present in an overlapping region. Both types of structure are related to the presence of a Maxwell point between the zero and finite amplitude homogeneous states.

Original languageEnglish
Article number254501
JournalPhysical Review Letters
Volume97
Issue number25
DOIs
StatePublished - 1 Dec 2006
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy

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