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

作　　者：张可心 解加芳[1] Zhang Kexin;Xie Jiafang(College of Science,North China University of Technology,Beijing 100144,China)

机构地区：[1]北方工业大学理学院,北京100144

出　　处：《动力学与控制学报》2024年第6期11-15,共5页Journal of Dynamics and Control

基　　金：国家自然基金资助项目(12172003)。

摘　　要：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.

关 键 词：非完整系统 APPELL方程 保辛算法 

分 类 号：O316[理学—一般力学与力学基础]