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

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/13047 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/13047 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/13047 archive 351 disk0/00/00/80/49 2016-01-15 08:39:00 2021-08-27 17:19:38 2016-01-15 08:39:00 monograph show 2 Davydov A.A. 1803 Melnikov N.B. 8103 Existence of Self-sustained Oscillations in an Ocean Circulation Box Model with Turbulent Fluxes pub iis_met iis_mod prog_dyn 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. 2006-11 published IR-06-049 IR-06-049 60 1446 public interim_report IIASA, Laxenburg, Austria 5 FALSE info:eu-repo/semantics/book