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Noether-type theorem for discrete nonconservative dynamical systems with nonregular lattices |
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| Authors: | FU JingLi CHEN LiQun & CHEN BenYong Institute of Mathematical Physics Zhejiang Sci-Tech University Hangzhou China |
| Affiliation: | FU JingLi1,CHEN LiQun2 & CHEN BenYong3 1 Institute of Mathematical Physics,Zhejiang Sci-Tech University,Hangzhou 310018,China,2 Department of Mechanics,Shanghai University,Shanghai 200072,3 Faculty of Mechanical-Engineering & Automation |
| Abstract: | We investigate Noether symmetries and conservation laws of the discrete nonconserved systems with nonregular lattices. The operators of discrete transformation and discrete differentiation to the right and left are introduced for the systems. Based on the invariance of discrete Hamilton action on nonregular lattices of the systems with the nonconserved forces under the infinitesimal transformations with respect to the time and generalized coordinates, we give the discrete analog of generalized variational f... |
| Keywords: | Noether symmetry variational formula quasi-extremal equation conservation law discrete nonconserved dynamical system |
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