Article
Noether’s theorems for the relative motion systems on time scales
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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
S. Gong and J. Fu, “Noether’s theorems for the relative motion systems on time scales,” Applied Mathematics and Nonlinear Sciences, vol. 3, no. 2, pp. 513–526, 2018, doi: 10.2478/AMNS.2018.2.00040.
Gong S, Fu J. Noether’s theorems for the relative motion systems on time scales. Applied Mathematics and Nonlinear Sciences. 2018;3(2):513–526. doi:10.2478/AMNS.2018.2.00040.
Gong, S. and Fu, J. (2018), ‘Noether’s theorems for the relative motion systems on time scales’, Applied Mathematics and Nonlinear Sciences, 3(2), pp. 513–526. Available at: https://doi.org/10.2478/AMNS.2018.2.00040.
Gong, Sheng-nan, and Jing-li Fu. “Noether’s Theorems for the Relative Motion Systems on Time Scales.” Applied Mathematics and Nonlinear Sciences, vol. 3, no. 2, 2018, pp. 513–526. https://doi.org/10.2478/AMNS.2018.2.00040.
Gong, Sheng-nan, and Jing-li Fu. “Noether’s Theorems for the Relative Motion Systems on Time Scales.” Applied Mathematics and Nonlinear Sciences 3, no. 2 (2018): 513–526. https://doi.org/10.2478/AMNS.2018.2.00040.
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Published by: Engineering Journals


