|Table of Contents|

Noether symmetries of generalized Birkhoff systems based on ElNabulsi fractional model

《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

Issue:
2014年03期
Page:
409-
Research Field:
Publishing date:

Info

Title:
Noether symmetries of generalized Birkhoff systems based on ElNabulsi fractional model
Author(s):
Zhang Yi12Ding Jinfeng3
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 systemssymmetriesconserved quantitiesElNabulsi fractional modelgeneralized Birkhoff systemsNoether’s theoreminfinitesimal transformationholonomic constraint systemsnonholonomic 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 ElNabulsi fractional model.Firstly,a generalized ElNabulsiPfaffBirkhoff fractional principle is presented,and generalized ElNabulsiBirkhoff equations are established;secondly,based on the invariance of the ElNabulsiPfaff 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 nonholonomic constraints.

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Last Update: 2014-06-30