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

Trudy Mat. Inst. Steklova, 2007 Volume 259, Pages 10–19 (Mi tm566)

This article is cited in 1 paper

Soft Loss of Stability in an Ocean Circulation Box Model with Turbulent Fluxes

A. A. Davydovab, N. B. Melnikovcbd

a Vladimir State University
b International Institute for Applied Systems Analysis
c M. V. Lomonosov Moscow State University
d Central Economics and Mathematics Institute, RAS

Abstract: For a 2D system of ordinary differential equations that gives a qualitative description of the thermohaline circulation in the ocean, we prove the existence of a limit cycle for a large class of transfer functions. We show that this cycle arises in the system as a result of the soft loss of stability of a steady state when a step transfer function is smoothed by functions from the above-mentioned class.

UDC: 517.9

Received in January 2007


 English version:
Proceedings of the Steklov Institute of Mathematics, 2007, 259, 6–15

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