Exterior difference systems and invariance properties of discrete mechanics

doi:10.1088/1751-8113/41/25/255208

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	Exterior difference systems and invariance properties of discrete mechanics
	Xie, Zheng 1,2; Xie, Duanqiang 1,2; Li, Hongbo1,2
	2008-06-27
发表期刊	JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
ISSN	1751-8113
卷号	41 期号:25 页码:14
摘要	Invariance properties describe the fundamental physical laws in discrete mechanics. Can those properties be described in a geometric way? We investigate an exterior difference system called the discrete Euler-Lagrange system, whose solution has one-to-one correspondence with solutions of discrete Euler-Lagrange equations, and use it to define the first integrals. The preservation of the discrete symplectic form along the discrete Hamilton phase flows and the discrete Noether's theorem is also described in the language of difference forms.
DOI	10.1088/1751-8113/41/25/255208
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000256693900014
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5740
专题	系统科学研究所
通讯作者	Xie, Zheng
作者单位	1.Zhejiang Univ, Ctr Math Sci, Zhejiang 310027, Peoples R China 2.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xie, Zheng,Xie, Duanqiang,Li, Hongbo. Exterior difference systems and invariance properties of discrete mechanics[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2008,41(25):14.
APA	Xie, Zheng,Xie, Duanqiang,&Li, Hongbo.(2008).Exterior difference systems and invariance properties of discrete mechanics.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,41(25),14.
MLA	Xie, Zheng,et al."Exterior difference systems and invariance properties of discrete mechanics".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 41.25(2008):14.