Limit cycle oscillations in thermohaline circulation box model with turbulent fluxes
Authors: Davydov AA, Melnikov NB
Publication Year: 2007
Reference: The 7th International Conference on Differential Equations EQUADIFF,
5-11 August 2007 Vienna, Austria [2007]
http://atlas-conferences.com/cgi-bin/abstract/caum-34
Abstract
In a box model of the density driven circulation maintained by heat and salt salt diffusion, a periodic solution is proven to exist for a wide class of transfer functions that represent turbulent fluxes. The limit cycle is shown to occur either through the classical Andronov-Hopf bifurcation or its analogue, observed when a jump function is smoothed by transfer functions from the introduced class. The bifurcation may possibly capture certain features of the transition to interdecadal ocean oscillations.