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

LIN Wantao~1 & MO Jiaqi~2 1. LASG, Institute of Atmospheric Physics. Chinese Academy of Sciences, Beijing 100029, China; 2. Department of mathematics, Huzhou Normal College, Huzhou 313000. China  
The El Nio/La Nia and the Southern Oscilla- tion 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 asymp- totic behavior of solution of corresponding problem is stud- ied. It is proved from the results that the trajectories of phase plane for coupled ocean-atmosphere model ultimately tend to the stable attractors separately.
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