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 discre...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.展开更多
基金supported by the Key Program of National Natural Science Foundation of China(Grant No.11232009)the National Natural Science Foundation ofChina(Grant Nos.11072218,11272287,and 11102060)+2 种基金the Shanghai Leading Academic Discipline Project,China(Grant No.S30106)the Natural ScienceFoundation of Henan Province,China(Grant No.132300410051)the Educational Commission of Henan Province,China(Grant No.13A140224)
文摘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.
