Discrete dynamical systems over double cross-product Lie groupoids

被引：7

作者：

Esen, Ogul ^{[1
]}

Sutlu, Serkan ^{[2
]}

机构：

[1] Gebze Tech Univ, Dept Math, TR-41400 Gebze, Turkey

[2] Isik Univ, Dept Math, TR-34980 Sile, Turkey

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2021年 / 18卷 / 04期

关键词：

Discrete dynamics; Lie groupoids; matched pairs; double cross product; MATCHED PAIRS; LAGRANGIAN MECHANICS; HOPF-ALGEBRAS; EULER-POINCARE; BICROSSPRODUCT; REDUCTION; SYMMETRY;

D O I：

10.1142/S0219887821500572

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Discrete Euler-Lagrange equations are studied over double cross product Lie groupoids. As such, a geometric framework for the local analysis of a discrete dynamical system is established. The arguments are elucidated on the local discrete dynamics of a gauge groupoid. The discrete Elroy's beanie is studied as a physical example.

引用

页数：40

共 3 条

[1] Discrete nonholonomic Lagrangian systems on Lie groupoids
Iglesias, David
Marrero, Juan C.
de Diego, David Martin
Martinez, Eduardo
JOURNAL OF NONLINEAR SCIENCE, 2008, 18 (03) : 221 - 276
[2] Discrete Nonholonomic Lagrangian Systems on Lie Groupoids
David Iglesias
Juan C. Marrero
David Martín de Diego
Eduardo Martínez
Journal of Nonlinear Science, 2008, 18 : 221 - 276
[3] Reduction of discrete dynamical systems over graphs
Mortveit, HS
Reidys, CM
ADVANCES IN COMPLEX SYSTEMS, 2004, 7 (01): : 1 - 20

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