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高阶Maggi方程的Birkhoff化及其辛算法

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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,Birk-hoff广义辛算法在长期跟踪后更加准确.
Birkhoffization of Higher-Order Maggi Equation and Its Symplectic Algorithm
For the high-order Maggi equation of nonholonomic systems,when it meets certain condi-tions,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 Birkhof-fian system.Compared with the above-mentioned algorithm with the classical Runge-Kutta method,Birkhoffian symplectic scheme is very accurate in a long-term tracing.

nonholonomic systemMaggi equationBirkhoffian symplectic algorithm

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北方工业大学理学院,北京 100144

非完整系统 Maggi方程 Birkhoff辛算法

国家自然科学基金

12172003

2024

动力学与控制学报
中国力学学会 湖南大学

动力学与控制学报

CSTPCD
影响因子:0.446
ISSN:1672-6553
年,卷(期):2024.22(1)
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