Abstract: The hydrodynamic system that admits the development of internal wave attractors under biharmonic forcing is investigated. It is shown that in the case of low amplitude of external forcing the wave pattern consists of two attractors that interact between themselves only slightly: the total energy of the system is equal to the sum of energies of the components with high accuracy. In the nonlinear case the attractors interact in the more complex way which leads to the development of a cascade of triad interactions generating a rich set of time scales. In the case of closely adjacent frequencies of the components of a biharmonic perturbation, the nonlinear “beating” regime develops, namely, the mean energy of the system of coupled attractors performs oscillations at a large time scale that corresponds to the beating period. It is found that the high-frequency energy fluctuations corresponding to the same mean energy can differ by an order of magnitude depending on whether the envelope of the mean value increases or decreases.

Cite: RYAZANOV D.A. , PROVIDUKHINA M.I. , SIBGATULLIN I.N. , ERMANYUK E.V.
BIHARMONIC ATTRACTORS OF INTERNAL GRAVITY WAVES
Fluid Dynamics. 2021. V.56. N3. P.403-412. DOI: 10.1134/S0015462821030046 WOS Scopus РИНЦ OpenAlex

Original: Рязанов Д.А. , Провидухина М.И. , Сибгатуллин И.Н. , Ерманюк Е.В.
БИГАРМОНИЧЕСКИЕ АТТРАКТОРЫ ВНУТРЕННИХ ГРАВИТАЦИОННЫХ ВОЛН
Известия Российской академии наук. Механика жидкости и газа. 2021. №3. С.90-99. РИНЦ

Identifiers:

Web of science:	WOS:000658763200010
Scopus:	2-s2.0-85107566027
Elibrary:	46805974
OpenAlex:	W3168329258

Citing:

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Scopus	4
OpenAlex	4
Elibrary	4
Web of science	6

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