Abstract
For the non-conservative holonomic Hamiltonian systems in phase space, the definition and criteria of the form invariance of the generalized Hamilton canonical equations were given. The relations among the form invariance, Noether symmetry and Lie symmetry were studied. The theory of the form invariance for the conservative holonomical systems was worked out. An example was given to illustrate the results.
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Project supported by the National Natural Science Foundation of China (Grant No. 10372053) and the National Science Foundation of Henan Province Government (Grant No. 0311011400)
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Fu, Jl., Chen, Lq. & Xie, Fp. Form invariants, noether and lie symmetry of non-conservative hamiltonian systems in phase space. J. of Shanghai Univ. 8, 252–257 (2004). https://doi.org/10.1007/s11741-004-0060-0
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DOI: https://doi.org/10.1007/s11741-004-0060-0