Mei Symmetry and New Conserved Quantities of Time-Scale Birkhoff's Equations. (25th January 2020)

• Record Type: Journal Article
• Authors: Zhai, Xiang-Hua; Zhang, Yi
• Other Names: Wei Yan-Ling Academic Editor.
• Is Part Of: Complexity. Volume 2020(2020)
• Publication Date: 2020-01-25
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2020/1691760
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : The time-scale dynamic equations play an important role in modeling complex dynamical processes. In this paper, the Mei symmetry and new conserved quantities of time-scale Birkhoff's equations are studied. The definition and criterion of the Mei symmetry of the Birkhoffian system on time scales are given. The conditions and forms of new conserved quantities which are found from the Mei symmetry of the system are derived. As a special case, the Mei symmetry of time-scale Hamilton canonical equations is discussed and new conserved quantities for the Hamiltonian system on time scales are derived. Two examples are given to illustrate the application of results.