Extended Hamilton–Jacobi Theory, Symmetries and Integrability by Quadratures

Extended Hamilton–Jacobi Theory, Symmetries and Integrability by Quadratures

In this paper, we study the extended Hamilton–Jacobi Theory in the context of dynamical systems with symmetries. Given an action of a Lie group <i>G</i> on a manifold <i>M</i> and a <i>G</i>-invariant vector field <i>X</i> on <i>M</i>, we c...

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Bibliographic Details
Main Authors: Sergio Grillo, Juan Carlos Marrero, Edith Padrón
Format: Article
Language:English
Published: MDPI AG 2021-06-01
Series:Mathematics
Subjects:
Hamilton–Jacobi Theory
symmetries
quadratures
integrability
first integrals
reconstruction
Online Access:https://www.mdpi.com/2227-7390/9/12/1357

Internet

https://www.mdpi.com/2227-7390/9/12/1357

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