Soft Loss of Stability in an Ocean Circulation Box Model with Turbulent Fluxes
Informatics and Automation, Analysis and singularities. Part 2, Tome 259 (2007), pp. 10-19

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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.
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     author = {A. A. Davydov and N. B. Melnikov},
     title = {Soft {Loss} of {Stability} in an {Ocean} {Circulation} {Box} {Model} with {Turbulent} {Fluxes}},
     journal = {Informatics and Automation},
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     volume = {259},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2007_259_a1/}
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A. A. Davydov; N. B. Melnikov. Soft Loss of Stability in an Ocean Circulation Box Model with Turbulent Fluxes. Informatics and Automation, Analysis and singularities. Part 2, Tome 259 (2007), pp. 10-19. http://geodesic.mathdoc.fr/item/TRSPY_2007_259_a1/