论文标题
有关联络哈密顿和拉格朗日系统的审查
A review on contact Hamiltonian and Lagrangian systems
论文作者
论文摘要
接触汉密尔顿动力学是一个仍有短期历史的主题,但在许多领域具有相关应用:热力学,宇宙学,控制理论和神经年代表等。近年来,在理论方面及其在几何力学和数学物理学中的潜在应用中,都在研究这种类型的动态。本文旨在回顾作者及其合作者最近在该主题上获得的一些结果。
Contact Hamiltonian dynamics is a subject that has still a short history, but with relevant applications in many areas: thermodynamics, cosmology, control theory, and neurogeometry, among others. In recent years there has been a great effort to study this type of dynamics both in theoretical aspects and in its potential applications in geometric mechanics and mathematical physics. This paper is intended to be a review of some of the results that the authors and their collaborators have recently obtained on the subject.