We construct a new mathematical model of the interaction of two resonant surface waves in a volume between two cylindrical shells of finite length. For the first time, we establish the existence of chaotic attractors for a system satisfying the resonance conditions for cross-like and forced waves. We also study the regular modes in the system and describe their phase portraits and frequency spectra.
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Translated from Neliniini Kolyvannya, Vol. 18, No. 4, pp. 540–554, October–December, 2015.
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Krasnopol’skaya, T.S., Pechuk, E.D. Cross-Like Surface Waves Between Finite Cylindrical Shells. J Math Sci 220, 498–513 (2017). https://doi.org/10.1007/s10958-016-3197-z
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DOI: https://doi.org/10.1007/s10958-016-3197-z