Lagrangian Descriptors and the Action Integral of Classical Mechanics
arXiv:2204.04728 · doi:10.1016/j.physd.2022.133206
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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