CSpace
Difference discrete variational principle, Euler-Lagrange cohomology and symplectic, multisymplectic structures II: Euler-Lagrange cohomology
Guo, HY; Li, YQ; Wu, K; Wang, SK
2002-02-15
Source PublicationCOMMUNICATIONS IN THEORETICAL PHYSICS
ISSN0253-6102
Volume37Issue:2Pages:129-138
AbstractIn this second paper of a series of papers, we explore the difference discrete versions for the Euler-Lagrange cohomology and apply them to the symplectic or multisymplectic geometry and their preserving properties in both the Lagrangian and Hamiltonian formalisms for discrete mechanics and field theory in the framework of multi-parameter differential approach. In terms of the difference discrete Euler-Lagrange cohomological concepts, we show that the symplectic or multisymplectic geometry and their difference discrete structure-preserving properties can always be established not only in the solution spaces of the discrete Euler-Lagrange or canonical equations derived by the difference discrete variational principle but also in the function space in each case if and only if the relevant closed Euler-Lagrange cohomological conditions are satisfied.
Keyworddiscrete variation Euler-Lagrange cohomology symplectic and multisymplectic structures
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000173770800001
PublisherINT ACADEMIC PUBL
Citation statistics
Cited Times:21[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/17915
Collection中国科学院数学与系统科学研究院
Affiliation1.Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China
2.Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China
3.Acad Sinica, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Guo, HY,Li, YQ,Wu, K,et al. Difference discrete variational principle, Euler-Lagrange cohomology and symplectic, multisymplectic structures II: Euler-Lagrange cohomology[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2002,37(2):129-138.
APA Guo, HY,Li, YQ,Wu, K,&Wang, SK.(2002).Difference discrete variational principle, Euler-Lagrange cohomology and symplectic, multisymplectic structures II: Euler-Lagrange cohomology.COMMUNICATIONS IN THEORETICAL PHYSICS,37(2),129-138.
MLA Guo, HY,et al."Difference discrete variational principle, Euler-Lagrange cohomology and symplectic, multisymplectic structures II: Euler-Lagrange cohomology".COMMUNICATIONS IN THEORETICAL PHYSICS 37.2(2002):129-138.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Guo, HY]'s Articles
[Li, YQ]'s Articles
[Wu, K]'s Articles
Baidu academic
Similar articles in Baidu academic
[Guo, HY]'s Articles
[Li, YQ]'s Articles
[Wu, K]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Guo, HY]'s Articles
[Li, YQ]'s Articles
[Wu, K]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.