动力学与控制学报2024,Vol.22Issue(1) :22-26.DOI:10.6052/1672-6553-2023-015

高阶Maggi方程的Birkhoff化及其辛算法

Birkhoffization of Higher-Order Maggi Equation and Its Symplectic Algorithm

薛冰 解加芳 张可心
动力学与控制学报2024,Vol.22Issue(1) :22-26.DOI:10.6052/1672-6553-2023-015

高阶Maggi方程的Birkhoff化及其辛算法

Birkhoffization of Higher-Order Maggi Equation and Its Symplectic Algorithm

薛冰 1解加芳 1张可心1
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作者信息

  • 1. 北方工业大学理学院,北京 100144
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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,Birk-hoff广义辛算法在长期跟踪后更加准确.

Abstract

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.

关键词

非完整系统/Maggi方程/Birkhoff辛算法

Key words

nonholonomic system/Maggi equation/Birkhoffian symplectic algorithm

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基金项目

国家自然科学基金(12172003)

出版年

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
参考文献量13
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