Asymptotic behavior of perturbed solution for simple coupled ocean-atmosphere model for ENSO

The El Nino/La Nina and the Southern Oscillation are an interannual phenomenon involved in the tropical Pacific Ocean-atmosphere interactions. In this paper, based on a kind of simple coupled ocean-atmosphere model for ENSO, using the perturbed theory and method, the asymptotic behavior of solution of corresponding problem is studied. It is proved from the results that the trajectories of phase plane for coupled ocean-atmosphere model ultimately tend to the stable attractors separately.