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Stability of Cellular Wave Structures in Oscillatory Pattern-Forming Systems near Onset

  • Conference paper
Nonlinear Waves in Active Media

Part of the book series: Research Reports in Physics ((RESREPORTS))

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Abstract

In a two-dimensional nonlinear system with a spatially uniform state unstable against finite-wavenumber oscillatory perturbations, stability of near-onset travelling-rectangle and oscillatory triangle patterns against long-wave modulations are investigated within the framework of coupled amplitude equations of the Newell-Whitehead-Segel type.

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Author information

Authors and Affiliations

  1. P.P. Shirsho Institute for Oceanology, USSR Acad. Sci., 23 Krasikov Str., SU-117218, Moscow, USSR

    K. E. Gedalin & B. A. Malomed

Authors
  1. K. E. Gedalin
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  2. B. A. Malomed
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Editor information

Editors and Affiliations

  1. Institute of Cybernetics, Estonian Academy of Sciences, Akadeemia tee 21, SU-200108, Tallinn, USSR

    Professor Jüri Engelbrecht

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© 1989 Springer-Verlag Berlin Heidelberg

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Gedalin, K.E., Malomed, B.A. (1989). Stability of Cellular Wave Structures in Oscillatory Pattern-Forming Systems near Onset. In: Engelbrecht, P.J. (eds) Nonlinear Waves in Active Media. Research Reports in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-74789-2_9

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  • DOI: https://doi.org/10.1007/978-3-642-74789-2_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51190-8

  • Online ISBN: 978-3-642-74789-2

  • eBook Packages: Springer Book Archive

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