海-气耦合气候系统非线性扰动模式的周期正解

Abstract

The focus was given on the tropical large-scale ocean-atmosphere interaction associated with ENSO, which was considered as one of the most important mechanisms for the global inter-annual climate variability. From a group of sea-air coupling equations, a nonlinear disturbed model was built for sea-air coupling climate systems. Based on the continuation theorem of Mawhin’s coincidence degree, the existence of positive periodic solutions to a class of nonlinear problems was discussed. A strict proof of the existence of positive periodic solutions to the model was obtained, and the potential application value of the result was expected. The study of air-sea interaction, which helps to understand the process of climate variability, provides a theoretical basis for climate simulation and prediction.