接触系统的对称性和耗散定律

IF 1.1 3区数学 Q1 MATHEMATICS Mediterranean Journal of Mathematics Pub Date : 2024-07-02 DOI:10.1007/s00009-024-02695-0

Javier Pérez Álvarez

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引用次数: 0

摘要

在这篇文章中，我们重点讨论通过接触哈密顿系统来表述耗散机械系统。我们定义了接触动力系统的不同对称形式（几何对称、动力对称和量规对称），以便在诺特领域找到相应的耗散量。我们还讨论了与\(TQ\times \mathbb {R},\) 上的一般向量场 X 相关的耗散量的存在，重点是其接触哈密顿函数是耗散的情况。

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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Symmetries and Dissipation Laws on Contact Systems

In this article, we focus on the formulation of dissipative mechanical systems through contact Hamiltonian systems. Different forms of symmetry of a contact dynamical system (geometric, dynamic, and gage) are defined to, in the realm of Noether, find their corresponding dissipated quantities. We also address the existence of dissipated quantities associated with a general vector field X on \(TQ\times \mathbb {R},\) focusing on the case where its contact Hamiltonian function is dissipative.

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来源期刊

Mediterranean Journal of Mathematics 数学-数学

CiteScore

1.80

自引率

0.00%

发文量

261

审稿时长

6-12 weeks

期刊介绍： The Mediterranean Journal of Mathematics (MedJM) is a publication issued by the Department of Mathematics of the University of Bari. The new journal replaces the Conferenze del Seminario di Matematica dell’Università di Bari which has been in publication from 1954 until 2003. The Mediterranean Journal of Mathematics aims to publish original and high-quality peer-reviewed papers containing significant results across all fields of mathematics. The submitted papers should be of medium length (not to exceed 20 printed pages), well-written and appealing to a broad mathematical audience. In particular, the Mediterranean Journal of Mathematics intends to offer mathematicians from the Mediterranean countries a particular opportunity to circulate the results of their researches in a common journal. Through such a new cultural and scientific stimulus the journal aims to contribute to further integration amongst Mediterranean universities, though it is open to contribution from mathematicians across the world.