Existence of Self-sustained Oscillations in an Ocean Circulation Box Model with Turbulent Fluxes

Davydov, A.A. & Melnikov, N.B. (2006). Existence of Self-sustained Oscillations in an Ocean Circulation Box Model with Turbulent Fluxes. IIASA Interim Report. IIASA, Laxenburg, Austria: IR-06-049

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Abstract

Box-models are important for qualitative description of thermohaline circulation. Their bifurcation analysis helps to understand possible mechanisms for the loss of stability. So far, bifurcations in box-models have been studied numerically, except for the saddle-node bifurcation in the Stommel type models. We consider a box-model with turbulent fluxes. We prove that a rapid growth of the transfer function can lead to existence of a limit cycle. This limit cycle collapses to a steady state as the transfer function approaches the step function.

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