Quadratic First Integrals of Constrained Autonomous Conservative Dynamical Systems with Fixed Energy

We consider autonomous conservative dynamical systems which are constrained with the condition that the total energy of the system has a specified value. We prove a theorem which provides the quadratic first integrals (QFIs), time-dependent and autonomous, of these systems in terms of the symmetries...

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Bibliographic Details
Main Authors: Antonios Mitsopoulos, Michael Tsamparlis
Format: Article
Language:English
Published: MDPI AG 2022-09-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/14/9/1870