Lagrangian Descriptors and the Action Integral of Classical Mechanics

Autor:	García-Garrido, V. J., Wiggins, S.
Rok vydání:	2022
Předmět:	Mathematics - Dynamical Systems Nonlinear Sciences - Chaotic Dynamics
Druh dokumentu:	Working Paper
DOI:	10.1016/j.physd.2022.133206
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2204.04728 Zobrazit plný text záznamu View this record from Arxiv