Email this article Cross-Like Surface Waves Between Finite Cylindrical Shells
- Authors: Krasnopol’skaya T.S.1, Pechuk E.D.1
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Affiliations:
- Institute of Hydromechanics, Ukrainian National Academy of Sciences
- Issue: Vol 220, No 4 (2017)
- Pages: 498-513
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/238867
- DOI: https://doi.org/10.1007/s10958-016-3197-z
- ID: 238867
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Abstract
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.
About the authors
T. S. Krasnopol’skaya
Institute of Hydromechanics, Ukrainian National Academy of Sciences
Author for correspondence.
Email: t.krasnopolskaya@tue.nl
Ukraine, Zhelyabov Str., 8/4, Kiev, 03057
E. D. Pechuk
Institute of Hydromechanics, Ukrainian National Academy of Sciences
Email: t.krasnopolskaya@tue.nl
Ukraine, Zhelyabov Str., 8/4, Kiev, 03057
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