Lie symmetries and conserved quantities of discrete nonholonomic Hamiltonian systems

doi:10.1088/1674-1056/21/4/040201

中国物理B ›› 2012, Vol. 21 ›› Issue (4): 40201-040201.doi: 10.1088/1674-1056/21/4/040201

• • 下一篇

王性忠¹,付昊²,傅景礼¹

收稿日期:2011-07-16 修回日期:2011-09-19 出版日期:2012-02-29 发布日期:2012-02-29
通讯作者: 傅景礼, E-mail:sqfujingli@163.com E-mail:sqfujingli@163.com

Lie symmetries and conserved quantities of discrete nonholonomic Hamiltonian systems

Wang Xing-Zhong(王性忠)^a), Fu Hao(付昊)^b), and Fu Jing-Li(傅景礼)^a)†

a. Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China;
b. China Jingye Engineering Corporation Limited Shenzhen Branch, Shenzhen 518054, China

Received:2011-07-16 Revised:2011-09-19 Online:2012-02-29 Published:2012-02-29
Contact: Fu Jing-Li, E-mail:sqfujingli@163.com E-mail:sqfujingli@163.com
Supported by:
Project supported by the National Natural Science Foundations of China (Grant No. 11072218) and the Natural Science Foundation of Zhejiang Province of China (Grant No. Y6110314)

摘要/Abstract

Abstract: This paper focuses on studying Lie symmetries and conserved quantities of discrete nonholonomic Hamiltonian systems. Firstly, the discrete generalized Hamiltonian canonical equations and discrete energy equation of nonholonomic Hamiltonian systems are derived from discrete Hamiltonian action. Secondly, the determining equations and structure equation of Lie symmetry of the system are obtained. Thirdly, the Lie theorems and the conservation quantities are given for the discrete nonholonomic Hamiltonian systems. Finally, an example is discussed to illustrate the application of the results.

Key words: Lie symmetry, nonholonomic constraint, discrete Hamiltonian system, conserved quantity

中图分类号: (Group theory)

02.20.-a

02.30.Ik (Integrable systems) 02.30.Ks (Delay and functional equations)

王性忠, 付昊, 傅景礼. [J]. 中国物理B, 2012, 21(4): 40201-040201.

Wang Xing-Zhong(王性忠), Fu Hao(付昊), and Fu Jing-Li(傅景礼) . Lie symmetries and conserved quantities of discrete nonholonomic Hamiltonian systems[J]. Chin. Phys. B, 2012, 21(4): 40201-040201.

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Lie symmetries and conserved quantities of discrete nonholonomic Hamiltonian systems

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