Noether symmetries of discrete nonholonomic dynamical systems

In this letter, we investigate Noether symmetries and conservation laws of discrete dynamical systems on an uniform lattice with the nonholonomic constraints. Based on the quasi-invariance of discrete Hamiltonian action of the systems under the infinitesimal transformation with respect to the time a...

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Bibliographic Details
Published inPhysics letters. A Vol. 373; no. 4; pp. 409 - 412
Main Authors Fu, Jing-Li, Chen, Ben-Yong, Chen, Li-Qun
Format Journal Article
LanguageEnglish
Published Elsevier B.V 19.01.2009
Subjects
Conservation law
Discrete nonholonomic dynamical system
Noether symmetry
Discrete nonholonomic dynamical system
Noether symmetry
Conservation law
45.05.+x
02.20.-a
45.20.Jj
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Summary:In this letter, we investigate Noether symmetries and conservation laws of discrete dynamical systems on an uniform lattice with the nonholonomic constraints. Based on the quasi-invariance of discrete Hamiltonian action of the systems under the infinitesimal transformation with respect to the time and generalized coordinates, we give the discrete analogue of generalized variational formula of the systems. From this formula we derive the discrete analogue of generalized Noether-type identity, and then we present the generalized quasi-extremal equations of the systems. We also obtain the discrete analogue of Noether theorems and the discrete analogue of Noether conservation laws of the systems. Finally, an example is discussed to illustrate these results.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2008.11.039