Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 3, Issue 2


Published
on

December 1, 2018


Pages

513-526


DOI

Article

Noether’s theorems for the relative motion systems on time scales

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Authors

Sheng-nan Gong Affiliation:
Department of Mathematics, Zhejiang Sci-Tech University, Hangzhou, 310018, China,
and Jing-li Fu Affiliation:
Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou, 310018, China


Abstract

This paper propose Noether symmetries and the conserved quantities of the relative motion systems on time scales. The Lagrange equations with delta derivatives on time scales are presented for the system. Based upon the invariance of Hamilton action on time scales, under the infinitesimal transformations with respect to the time and generalized coordinates, the Hamilton’s principle, the Noether theorems and conservation quantities are given for the systems on time scales. Lastly, an example is given to show the application the conclusion.


Keywords

time scale, Noether theorem, the relative motion systems


Citation

Gong, S. & Fu, J. (2018). Noether’s theorems for the relative motion systems on time scales. Applied Mathematics and Nonlinear Sciences, 3(2), 513–526. https://doi.org/10.2478/AMNS.2018.2.00040

Published by: Engineering Journals

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