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arXiv · 2204.04728

Lagrangian Descriptors and the Action Integral of Classical Mechanics

V. J. García-Garrido·S. Wiggins
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Abstract

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.

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V. J. García-Garrido, S. Wiggins. 2022-04-10. Lagrangian Descriptors and the Action Integral of Classical Mechanics. https://doi.org/10.1016/j.physd.2022.133206

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