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Noether Theorem for Nonholonomic Systems with Time Delay

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  • Shi-Xin Jin
  • Yi Zhang

Abstract

The paper focuses on studying the Noether theorem for nonholonomic systems with time delay. Firstly, the differential equations of motion for nonholonomic systems with time delay are established, which is based on the Hamilton principle with time delay and the Lagrange multiplier rules. Secondly, based upon the generalized quasi-symmetric transformations for nonconservative systems with time delay, the Noether theorem for corresponding holonomic systems is given. Finally, we obtain the Noether theorem for the nonholonomic nonconservative systems with time delay. At the end of the paper, an example is given to illustrate the application of the results.

Suggested Citation

  • Shi-Xin Jin & Yi Zhang, 2015. "Noether Theorem for Nonholonomic Systems with Time Delay," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-9, April.
    • Handle: RePEc:hin:jnlmpe:539276
    DOI: 10.1155/2015/539276
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    Cited by:

    1. Huang, Li-Qin & Zhang, Yi, 2024. "Herglotz-type vakonomic dynamics and Noether theory of nonholonomic systems with delayed arguments," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

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