Stability of cellular wave structures in oscillatory pattern-forming systems near onset

B. A. Malomed, K. E. Gedalin

Research output: Contribution to journalArticlepeer-review

Abstract

In a two-dimensional nonlinear system with a uniform state unstable against finite-wavenumber oscillatory perturbations, stability of near-onset traveling-rectangle and oscillatory-triangle patterns against long-wave modulations is investigated analytically within the framework of coupled amplitude equations of the Newell-Whitehead-Segel type. Stability of the simplest quasi-periodic pattern based on three wave vectors against in-phase perturbations is investigated too.

Original languageEnglish
Pages (from-to)33-41
Number of pages9
JournalPhysica D: Nonlinear Phenomena
Volume40
Issue number1
DOIs
StatePublished - Nov 1989
Externally publishedYes

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