Noether’s theorem for non-conservative Hamilton system based on El-Nabulsi dynamical model extended by periodic laws |
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引用本文: | 龙梓轩,张毅.Noether’s theorem for non-conservative Hamilton system based on El-Nabulsi dynamical model extended by periodic laws[J].中国物理 B,2014(11):363-371. |
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作者姓名: | 龙梓轩 张毅 |
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作者单位: | College of Mathematics and Physics, Suzhou University of Science and Technology;College of Civil Engineering, Suzhou University of Science and Technology |
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摘 要: | This paper focuses on the Noether symmetries and the conserved quantities for both holonomic and nonholonomic systems based on a new non-conservative dynamical model introduced by El-Nabulsi. First, the El-Nabulsi dynamical model which is based on a fractional integral extended by periodic laws is introduced, and El-Nabulsi–Hamilton’s canonical equations for non-conservative Hamilton system with holonomic or nonholonomic constraints are established. Second,the definitions and criteria of El-Nabulsi–Noether symmetrical transformations and quasi-symmetrical transformations are presented in terms of the invariance of El-Nabulsi–Hamilton action under the infinitesimal transformations of the group. Finally, Noether’s theorems for the non-conservative Hamilton system under the El-Nabulsi dynamical system are established,which reveal the relationship between the Noether symmetry and the conserved quantity of the system.
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关 键 词: | dynamical conservative fractional symmetrical conserved invariance quantities symmetry constraints quasi |
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