Perturbation to Symmetries and Adiabatic Invariants of Nonholonomic System in Terms of Quasi-coordinates |
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Authors: | CHEN;Xiang-Wei;ZHAO;Yong-Hong;LI;Yan-Min |
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Institution: | Department of Physics, Shangqiu Teachers College, Shangqiu 476000, China |
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Abstract: | Based on the theory of Lie symmetries and conserved quantities, the exact invariants and adiabatic invariants of nonholonomic system in terms of quasi-coordinates are studied. The perturbation to symmetries for the nonholonomic system in terms of quasi-coordinates under small excitation is discussed. The concept of high-order adiabatic invariant is presented, and the forms of exact invariants and adiabatic invariants as well as the conditions for their existence are given. Then the corresponding inverse problem is studied. |
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Keywords: | nonholonomic system in terms of quasi-coordinates perturbation exact invariant adiabatic invariant |
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