Noether symmetry and Mei symmetry of discrete holonomic system in phase space

Lu Kai; Fang Jian-Hui; Zhang Ming-Jiang; Wang Peng

doi:10.7498/aps.58.7421

Abstract
The Noether symmetry, the Mei symmetry and the conserved quantities of discrete holonomic system in phase space are studied in this paper. Using the difference discrete variational approach, the difference discrete variational principle of discrete holonomic system in phase space is derived. The discrete canonical equations and energy evolution equation are established. The criterion of Noether symmetry and Mei symmetry of the system are given. The discrete Noether and Mei conserved quantities and the conditions for their existence are obtained. An example is discussed to show the applications of the results.

Keywords:
phase space /

discrete holonomic system /

symmetry /

conserved quantity
Authors and contacts
Lu Kai²,

Fang Jian-Hui²,

Zhang Ming-Jiang²,

Wang Peng¹

(1)新疆师范大学数学物理和信息科学学院，乌鲁木齐 830054; (2)中国石油大学（华东)物理科学与技术学院，东营 257061
References

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Vol. 58, Issue 11 - 2009-06-05

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Noether symmetry and Mei symmetry of discrete holonomic system in phase space

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Noether symmetry and Mei symmetry of discrete holonomic system in phase space

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