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- W255144427 abstract "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." @default.
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- W255144427 date "2014-11-01" @default.
- W255144427 modified "2023-10-17" @default.
- W255144427 title "Noether's theorem for non-conservative Hamilton system based on El-Nabulsi dynamical model extended by periodic laws" @default.
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- W255144427 doi "https://doi.org/10.1088/1674-1056/23/11/114501" @default.
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