The Classical Action as a Tool to Visualise the Phase Space of Hamiltonian Systems

The Classical Action as a Tool to Visualise the Phase Space of Hamiltonian Systems

In this paper, we analyse the classical action as a tool to reveal the phase space structure of Hamiltonian systems simply and intuitively. We construct a scalar field using the values of the action along the trajectories to analyse the phase space. The different behaviours of the trajectories aroun...

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Bibliographic Details
Main Author: Francisco Gonzalez Montoya
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Dynamics
Subjects:
Hamiltonian systems
phase space analysis
invariant manifolds
Online Access:https://www.mdpi.com/2673-8716/3/4/36

Internet

https://www.mdpi.com/2673-8716/3/4/36

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