Two-dimensional localized chaotic patterns in parametrically driven systems

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We study two-dimensional localized patterns in weakly dissipative systems that are driven parametrically. As a generic model for many different physical situations we use a generalized nonlinear Schrödinger equation that contains parametric forcing, damping, and spatial coupling. The latter allows for the existence of localized pattern states, where a finite-amplitude uniform state coexists with an inhomogeneous one. In particular, we study numerically two-dimensional patterns. Increasing the driving forces, first the localized pattern dynamics is regular, becomes chaotic for stronger driving, and finally extends in area to cover almost the whole system. In parallel, the spatial structure of the localized states becomes more and more irregular, ending up as a full spatiotemporal chaotic structure.

Original languageEnglish
Pages (from-to)52216
Number of pages1
JournalPhysical Review E
Volume95
Issue number5-1
DOIs
StatePublished - 1 May 2017

Fingerprint

Dive into the research topics of 'Two-dimensional localized chaotic patterns in parametrically driven systems'. Together they form a unique fingerprint.

Cite this