高阶Maggi方程的Birkhoff化及其辛算法  

Birkhoffization of Higher-Order Maggi Equation and Its Symplectic Algorithm

作　　者：薛冰 解加芳[1] 张可心 Xue Bing;Xie Jiafang;Zhang Kexin(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1期22-26,共5页Journal of Dynamics and Control

基　　金：国家自然基金资助项目(12172003)。

摘　　要：针对非完整系统的高阶Maggi方程,在满足一定的条件时,可以对其进行Birkhoff化.通过构造生成函数,利用Birkhoff广义辛算法对其进行数值仿真.仿真结果和传统的Runge-Kutta算法结果相比较,Birkhoff广义辛算法在长期跟踪后更加准确.For the high-order Maggi equation of nonholonomic systems,when it meets certain conditions,the Maggi equation can be transformed into a Birkhoffian system.By constructing the generating function,the system is investigated numerically using the symplectic geometric algorithm of the Birkhoffian system.Compared with the above-mentioned algorithm with the classical Runge-Kutta method,Birkhoffian symplectic scheme is very accurate in a long-term tracing.

关 键 词：非完整系统 Maggi方程 Birkhoff辛算法 

分 类 号：O316[理学—一般力学与力学基础]