非完整系统Appell方程的保辛算法研究

Research on Preserving Symplectic Algorithm for Appell Equations of Nonholonomic Systems

本文利用待定张量法对非完整系统Appell方程进行Birkhoff化,并根据生成函数的构造原理确定生成函数,给出Birkhoff辛格式,最后通过具体的Appell方程算例进行理论验证和仿真模拟,从一定程度上说明了保辛算法随着时间演变更具有效性和优越性.

In this paper,the undetermined tensor method is used to Birkhoffize the Appell equation for a nonholonomic system.The generating functions are obtained according to the construction principle of generating functions,and then a Birkhoff symplectic scheme is given.Finally,a specific example of Appell equation is provided to verify the above theory and simulate this example.The results show that the preserving algorithm is more effective and superior with the evolution of time.