According to the nonlinear basic theory that a forced dissipative nonlinear system in a higher dimensional state space can be evolved into an attractor set of the descending dimension, a new method of reducing the deg...According to the nonlinear basic theory that a forced dissipative nonlinear system in a higher dimensional state space can be evolved into an attractor set of the descending dimension, a new method of reducing the degrees of freedom of the general circulation model (GCM) is given. The concrete way of it is: the time-dependent integral series of the model is decomposed through empirical orthogonal functions (EOFs), therefore the small number of the degrees of freedom supporting the attractor set of GCM can be formed, and then a simplified model can be derived when the EOFs are used as basis. The numerical simulation experiment has been done by using a theoretical model, and we are sure that the feasibility and effectiveness of the method can be proved.展开更多
基金This work was supported by Higher Learning Institution Doctoral Unit Sciences Foundation of the National Educational Committee
文摘According to the nonlinear basic theory that a forced dissipative nonlinear system in a higher dimensional state space can be evolved into an attractor set of the descending dimension, a new method of reducing the degrees of freedom of the general circulation model (GCM) is given. The concrete way of it is: the time-dependent integral series of the model is decomposed through empirical orthogonal functions (EOFs), therefore the small number of the degrees of freedom supporting the attractor set of GCM can be formed, and then a simplified model can be derived when the EOFs are used as basis. The numerical simulation experiment has been done by using a theoretical model, and we are sure that the feasibility and effectiveness of the method can be proved.
