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Noether theorem for generalized Chaplygin system on time scales

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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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Authors and Affiliations

  1. College of Civil Engineering, Suzhou University of Science and Technology, Suzhou, 215011, People’s Republic of China

    Y. Zhang

  2. School of Mathematics and Statistics, Shangqiu Normal University, Shangqiu, 476000, People’s Republic of China

    S. X. Jin

  3. School of Science, Nanjing University of Science and Technology, Nanjing, 210094, People’s Republic of China

    S. X. Jin

Authors
  1. S. X. Jin
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  2. Y. Zhang
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Correspondence to Y. Zhang.

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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

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