- Issue:
- 2014年03期

- Page:
- 409-

- Research Field:

- Publishing date:

- Title:
- Noether symmetries of generalized Birkhoff systems based on ElNabulsi fractional model

- Author(s):
- Zhang Yi
^{1};^{2}; Ding Jinfeng^{3} - 1.College of Civil Engineering,Suzhou University of Science and Technology,Suzhou 215009,China; 2.School of Sciences,NUST,Nanjing 210094,China;3.College of Mathematics and Physics, Suzhou University of Science and Technology,Suzhou 215009,China

- Keywords:
- mechanical systems; symmetries; conserved quantities; ElNabulsi fractional model; generalized Birkhoff systems; Noether’s theorem; infinitesimal transformation; holonomic constraint systems; nonholonomic constraint systems

- PACS:
- O316

- DOI:
- -

- Abstract:
- To further reveal the inner relationships between the symmetries and conserved quantities of mechanical systems,a Noether’s theorem of generalized Birkhoff systems is proposed and studied based on ElNabulsi fractional model.Firstly,a generalized ElNabulsiPfaffBirkhoff fractional principle is presented,and generalized ElNabulsiBirkhoff equations are established;secondly,based on the invariance of the ElNabulsiPfaff action under the infinitesimal transformation,the definitions and criteria of the Noether symmetries of generalized Birkhoff fractional systems are given;finally,a Noether’s theorem for generalized Birkhoff fractional systems is proposed.The research results may be applied to systems with holonomic or nonholonomic constraints.

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- Memo:
- -

Last Update: 2014-06-30