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Abstract:
In this work we study the impact of non-Gaussian α-stable Lévy motion on transitions between metastable equilibrium states (or attractors) in a stochastic Stommel two-compartment model for the thermohaline circulation. By maximizing probability density of the solution process associated with a nonlocal Fokker-Planck equation, we compute maximal likely pathways and identify corresponding maximal likely stable equilibrium states. Our numerical results indicate that random fluctuations with small intensity induces a weakened thermohaline circulation when the Lévy noise stability index is from 0.1 to 0.7.