具有非完整约束的接触哈密顿系统和拉格朗日系统

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.3934/jgm.2021001

M. León, V. M. Jiménez, M. Lainz

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引用次数: 15

摘要

在本文中，我们发展了具有非完整约束的接触系统理论。通过对变量进行限制，使其满足非完整约束，利用赫格罗茨变分原理得到动力学。证明了非完整动力学可以用无约束哈密顿向量场的投影来表示。最后构造了非完整支架，它是可观测空间上的几乎雅可比支架，并给出了该支架的非完整动力学。

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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Contact Hamiltonian and Lagrangian systems with nonholonomic constraints

In this article we develop a theory of contact systems with nonholonomic constraints. We obtain the dynamics from Herglotz's variational principle, by restricting the variations so that they satisfy the nonholonomic constraints. We prove that the nonholonomic dynamics can be obtained as a projection of the unconstrained Hamiltonian vector field. Finally, we construct the nonholonomic bracket, which is an almost Jacobi bracket on the space of observables and provides the nonholonomic dynamics.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.