A note on Hybrid Routh reduction for time-dependent Lagrangian systems

IF 1 4区数学 Q3 MATHEMATICS, APPLIED

Journal of Geometric Mechanics Pub Date : 2020-03-17 DOI:10.3934/jgm.2020014

L. Colombo, Mar'ia Emma Eyrea Iraz'u, E. G. Andr'es

引用次数: 5

Abstract

This note discusses Routh reduction for hybrid time-dependent mechanical systems. We give general conditions on whether it is possible to reduce by symmetries a hybrid time-dependent Lagrangian system extending and unifying previous results for continuous-time systems. We illustrate the applicability of the method using the example of a billiard with moving walls.

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时变拉格朗日系统的混合生长约简

本文讨论了时变混合机械系统的生长缩减问题。我们给出了是否可能通过对称约简混合时相关拉格朗日系统的一般条件，扩展和统一了之前关于连续时间系统的结果。最后以一个带移动壁的台球为例，说明了该方法的适用性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Geometric Mechanics MATHEMATICS, APPLIED-PHYSICS, MATHEMATICAL

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Geometric Mechanics (JGM) aims to publish research articles devoted to geometric methods (in a broad sense) in mechanics and control theory, and intends to facilitate interaction between theory and applications. Advances in the following topics are welcomed by the journal: 1. Lagrangian and Hamiltonian mechanics 2. Symplectic and Poisson geometry and their applications to mechanics 3. Geometric and optimal control theory 4. Geometric and variational integration 5. Geometry of stochastic systems 6. Geometric methods in dynamical systems 7. Continuum mechanics 8. Classical field theory 9. Fluid mechanics 10. Infinite-dimensional dynamical systems 11. Quantum mechanics and quantum information theory 12. Applications in physics, technology, engineering and the biological sciences.