Non-Noether symmetries and Lutzky conservative quantities of nonholonomic nonconservative dynamical systems

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	Non-Noether symmetries and Lutzky conservative quantities of nonholonomic nonconservative dynamical systems
	Zheng, SW ; Tang, YF ; Fu, JL
	2006-02-01
发表期刊	CHINESE PHYSICS
ISSN	1009-1963
卷号	15 期号:2 页码:243-248
摘要	Non-Noether symmetries and conservative quantities of nonholonomic nonconservative dynamical systems are investigated in this paper. Based on the relationships among motion, nonconservative forces, nonholonomic constrained forces and Lagrangian, non-Noether symmetries and Lutzky conservative quantities are presented for nonholonomic nonconservative dynamical systems. The relation between non-Noether symmetry and Noether symmetry is discussed and it is further shown that non-Noether conservative quantities can be obtained by a complete set of Noether invariants. Finally, an example is given to illustrate these results.
关键词	conserved quantity non-Noether symmetry nonholonomic nonconservative system infinitesimal transformation
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000235228300001
出版者	CHINESE PHYSICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3159
专题	中国科学院数学与系统科学研究院
通讯作者	Fu, JL
作者单位	1.Shangqiu Teachers Coll, Dept Phys, Shangqiu 476000, Peoples R China 2.Chinese Acad Sci, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 3.Zhejiang Sci & Technol Univ, Dept Phys, Hangzhou 310018, Peoples R China 4.Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
推荐引用方式 GB/T 7714	Zheng, SW,Tang, YF,Fu, JL. Non-Noether symmetries and Lutzky conservative quantities of nonholonomic nonconservative dynamical systems[J]. CHINESE PHYSICS,2006,15(2):243-248.
APA	Zheng, SW,Tang, YF,&Fu, JL.(2006).Non-Noether symmetries and Lutzky conservative quantities of nonholonomic nonconservative dynamical systems.CHINESE PHYSICS,15(2),243-248.
MLA	Zheng, SW,et al."Non-Noether symmetries and Lutzky conservative quantities of nonholonomic nonconservative dynamical systems".CHINESE PHYSICS 15.2(2006):243-248.