Symmetries and variational calculation of discrete Hamiltonian systems |
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| Authors: | Xia Li-Li, Chen Li-Qun, Fu Jing-Li, Wu Jing-He |
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| Abstract: | We present a numerical simulation method of Noether and Lie symmetries for discrete Hamiltonian systems. The Noether and Lie symmetries for the systems are proposed by investigating the invariance properties of discrete Lagrangian in phase space. The numerical calculations of a two-degree-of-freedom nonlinear harmonic oscillator show that the difference discrete variational method preserves the exactness and the invariant quantity. |
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| Keywords: | discrete Hamiltonian systems discrete variational integrators symmetry conserved quantity |
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