Lagrangian descriptors and the action integral of classical mechanics

被引：8

作者：

Garcia-Garrido, Victor J. ^{[1
]}

Wiggins, Stephen ^{[2
]}

机构：

[1] Univ Alcala, Dept Fis & Matemat, Alcala De Henares 28871, Spain

[2] Univ Bristol, Sch Math, Fry Bldg, Woodland Rd, Bristol BS8 1UG, Glos, England

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2022年 / 434卷

基金：

英国工程与自然科学研究理事会;

关键词：

Lagrangian descriptors; Action functional; Phase space structure; Hamiltonian systems; GEOMETRY;

D O I：

10.1016/j.physd.2022.133206

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we bring together the method of Lagrangian descriptors and the principle of least action, or more precisely, of stationary action, in both deterministic and stochastic settings. In particular, we show how the action can be used as a Lagrangian descriptor. This provides a direct connection between Lagrangian descriptors and Hamiltonian mechanics, and we illustrate this connection with benchmark examples. (c) 2022 Elsevier B.V. All rights reserved.

引用

页数：11

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