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Title: Dynamics symmetries of Hamiltonian system on time scales

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.4871545· OSTI ID:22250779
;  [1]
  1. Department of Physics, Zhejiang Sci-Tech University, Hangzhou 310018 (China)

In this paper, the dynamics symmetries of Hamiltonian system on time scales are studied. We study the symmetries and quantities based on the calculation of variation and Lie transformation group. Particular focus lies in: the Noether symmetry leads to the Noether conserved quantity and the Lie symmetry leads to the Noether conserved quantity if the infinitesimal transformations satisfy the structure equation. As the new application of result, at end of the article, we give a simple example of Noether symmetry and Lie symmetry on time scales.

OSTI ID:
22250779
Journal Information:
Journal of Mathematical Physics, Vol. 55, Issue 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
Country of Publication:
United States
Language:
English

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