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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2023 Volume 321, Pages 118–127 (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

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.

UDC: 517.9

Received: March 30, 2022
Revised: October 29, 2022
Accepted: December 1, 2022

DOI: 10.4213/tm4309


 English version:
Proceedings of the Steklov Institute of Mathematics, 2023, 321, 107–116

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© Steklov Math. Inst. of RAS, 2024