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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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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