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

B. A. Malomed; K. E. Gedalin

doi:10.1016/0167-2789(89)90025-0

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

B. A. Malomed^*, K. E. Gedalin

^*Corresponding author for this work

RAS - P.P. Shirshov Institute of Oceanology

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 language	English
Pages (from-to)	33-41
Number of pages	9
Journal	Physica D: Nonlinear Phenomena
Volume	40
Issue number	1
DOIs	https://doi.org/10.1016/0167-2789(89)90025-0
State	Published - Nov 1989
Externally published	Yes

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10.1016/0167-2789(89)90025-0

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title = "Stability of cellular wave structures in oscillatory pattern-forming systems near onset",

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.",

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AB - 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.

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

Abstract

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