Chaos Excitation and Stochastic Synchronization in an Oceanic Double Gyre

Abstract

Stochastic synchronization, which is the coupling phenomena of synchronization and stochastic resonance, is considered to be related to formation of ordered structure, such as in the rhythm adjustment observed in non-linear systems including ocean system. To investigate chaos excitation and the relation of it to the stochastic synchronization in the oceanic double gyre, numerical simulations are conducted using 1.5 layer reduced gravity quasi-geostrophic model driven by seasonal changing forcing with red noise. Results show that by adding red noise to external forcing, synchronization (i.e., stochastic synchronization) occurs when the amplitude of external forcing is smaller than that in the case without noise, and the transition to chaos excitation occurs more rapidly when the amplitude of external forcing is larger, corresponding to the Curry-York model.