Lagrangian Descriptors and the Action Integral of Classical Mechanics

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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Cited by in corpus (2)

• Global dynamics visualisation from Lagrangian Descriptors. Applications to discrete and continuous systems
• Phase space integrity in neural network models of Hamiltonian dynamics: A Lagrangian descriptor approach