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Stochastisation of phases in four-wave interaction

  • Plasma And Gravitation
  • Conference paper
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Dynamical Systems, Plasmas and Gravitation

Part of the book series: Lecture Notes in Physics ((LNP,volume 518))

Abstract

We study the statistical properties of nonlinear wave-wave interaction in a system consisting of three Langmuir waves and one ion-sound wave. Such a system describes either a cascade of two decay instabilties or a modified decay instability. We pay a particular attention to the phases which in some cases exhibit a chaotic synchronization, showing a transition from three-wave to four-wave interaction.

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Authors and Affiliations

  1. Laboratoire de Physique et Chimie de l’Environnement, CNRS, 3A av de la Recherche Scientifique, 45071, Orléans Cedex 2, France

    Bertrand Lefebvre & Volodia Krasnosel’skikh

  2. Centre de Physique Théorique, CNRS et Université de Provence, Luminy case 907, 13288, Marseille Cedex 9, France

    Thierry Dudok de Wit

Authors
  1. Bertrand Lefebvre
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  2. Volodia Krasnosel’skikh
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  3. Thierry Dudok de Wit
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Editor information

P. G. L. Leach S. E. Bouquet J.-L. Rouet E. Fijalkow

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© 1999 Springer-Verlag

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Lefebvre, B., Krasnosel’skikh, V., de Wit, T.D. (1999). Stochastisation of phases in four-wave interaction. In: Leach, P.G.L., Bouquet, S.E., Rouet, JL., Fijalkow, E. (eds) Dynamical Systems, Plasmas and Gravitation. Lecture Notes in Physics, vol 518. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105918

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  • DOI: https://doi.org/10.1007/BFb0105918

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65467-4

  • Online ISBN: 978-3-540-49251-1

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