Perturbation of symmetries for super-long elastic slender rods |
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| Authors: | Ding Ning and Fang Jian-Hui |
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| Institution: | Institute of Theoretical Physics, Department of Physics and Electronics Science, Binzhou University, Binzhou 256600, China; College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China |
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| Abstract: | This paper analyses perturbations of Noether symmetry, Lie symmetry, and form invariance for super-long elastic slender rod systems. Criterion and structure equations of the symmetries after disturbance are proposed. Considering perturbation of all infinitesimal generators, three types of adiabatic invariants induced by perturbation of symmetries for the system are obtained. |
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| Keywords: | super-long elastic slender rod symmetry perturbation adiabatic invariant |
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