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Mei Symmetry and New Conserved Quantities of Time-Scale Birkhoff’s Equations

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  • Xiang-Hua Zhai
  • Yi Zhang

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.

Suggested Citation

  • Xiang-Hua Zhai & Yi Zhang, 2020. "Mei Symmetry and New Conserved Quantities of Time-Scale Birkhoff’s Equations," Complexity, Hindawi, vol. 2020, pages 1-7, January.
    • Handle: RePEc:hin:complx:1691760
    DOI: 10.1155/2020/1691760
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    Cited by:

    1. Umara Kausar & Tooba Feroze, 2021. "Approximate Mei Symmetries and Invariants of the Hamiltonian," Mathematics, MDPI, vol. 9(22), pages 1-8, November.

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