Abstract
In this paper, the Noether theorem for generalized Chaplygin system on time scales is proposed and studied. The generalized Chaplygin formula for nonholonomic system on time scales is derived. The Noether theorems for generalized Chaplygin system on time scales are established, and two special cases of the Noether theorems for continuous and discrete generalized Chaplygin systems are given. Finally, two examples are given to illustrate the applications of the results.
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Acknowledgements
This work was supported by the National Natural Science Foundation of China (Grant Nos. 11572212 and 11272227), and the Innovation Program for graduate student of Jiangsu Province (Grant No. KYLX16-0414).
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Jin, S.X., Zhang, Y. Noether theorem for generalized Chaplygin system on time scales. Indian J Phys 93, 883–890 (2019). https://doi.org/10.1007/s12648-018-1345-7
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DOI: https://doi.org/10.1007/s12648-018-1345-7