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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2023, Volume 321, Pages 118–127
DOI: https://doi.org/10.4213/tm4309 (Mi tm4309) 		 
Typical Occurrence of Self-oscillations in an Ocean Circulation Box Model with Turbulent Fluxes

A. A. Davydovab, S. O. Zosimova

a Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, 119991 Russia
b National University of Science and Technology MISiS, Leninskii prosp. 4, Moscow, 119049 Russia
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DOI: https://doi.org/10.4213/tm4309
Abstract: For a model of temperature–salinity ocean circulation whose dynamics is governed by a two-dimensional system of ordinary differential equations with a discontinuous transfer function depending on parameters, we describe generic bifurcations of birth of several self-oscillating modes when the parameters of the transfer function vary; we also find the corresponding bifurcation diagrams in the parameter space.
Funding agency Grant number
Russian Science Foundation 19-11-00223
This work was supported by the Russian Science Foundation under grant no. 19-11-00223, https://rscf.ru/en/project/19-11-00223/, and performed at Lomonosov Moscow State University.
Received: March 30, 2022
Revised: October 29, 2022
Accepted: December 1, 2022
English version:
Proceedings of the Steklov Institute of Mathematics, 2023, Volume 321, Pages 107–116
DOI: https://doi.org/10.1134/S0081543823020086
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. A. Davydov, S. O. Zosimov, “Typical Occurrence of Self-oscillations in an Ocean Circulation Box Model with Turbulent Fluxes”, Optimal Control and Dynamical Systems, Collected papers. On the occasion of the 95th birthday of Academician Revaz Valerianovich Gamkrelidze, Trudy Mat. Inst. Steklova, 321, Steklov Math. Inst., Moscow, 2023, 118–127; Proc. Steklov Inst. Math., 321 (2023), 107–116
Citation in format AMSBIB
\Bibitem{DavZos23}
\by A.~A.~Davydov, S.~O.~Zosimov
\paper Typical Occurrence of Self-oscillations in an Ocean Circulation Box Model with Turbulent Fluxes
\inbook Optimal Control and Dynamical Systems
\bookinfo Collected papers. On the occasion of the 95th birthday of Academician Revaz Valerianovich Gamkrelidze
\serial Trudy Mat. Inst. Steklova
\yr 2023
\vol 321
\pages 118--127
\publ Steklov Math. Inst.
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4309}
\crossref{https://doi.org/10.4213/tm4309}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2023
\vol 321
\pages 107--116
\crossref{https://doi.org/10.1134/S0081543823020086}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85171301917}
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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