海气耦合随机-动力气候模式的周期解问题

Periodic Solutions to the Stochastic-Dynamic Climate Model With Sea-Air Interaction

目前大多数对随机-动力气候模式的研究都是在随机强迫项为白噪声的假定下进行的,而实际上许多天气快变量往往表现为非线性的其它随机过程.该文运用Mawhin重合度理论,探讨了一类随机强迫项是其它随机过程,而非白噪声时的海气耦合随机-动力气候模式的周期解问题,得到了一定条件下该模型存在周期解的结果.

U sually,most of the stochastic-dynamic climate models were addressed under the assumption that the stochastic forcing terms were white noises. However,many fast climate variables are expressed as nonlinear stochastic processes other than white noises. The stochastic forcing terms in the sea-air interaction model were improved,and a reasonable model was built accordingly. The Mawhin's continuation theorem as a very effective and general method to study the existence of periodic solutions to dynamic systems,was applied to the problem of periodic solutions to the proposed stochastic-dynamic climate model with sea-air interaction,in which the stochastic forcing terms were some stochastic processes differring from white noises. The existence of periodic solutions to the model under certain conditions was proved,and the potential application value of the results was discussed.