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math-ph2022★ 4 cited
Quadratic first integrals of constrained autonomous conservative dynamical systems with fixed energy
Antonios Mitsopoulos, Michael Tsamparlis
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 p…
math-ph2022
Integrability of Dynamical Systems: A Geometrical Viewpoint
Antonios Mitsopoulos
The physical phenomena are described by physical quantities related by specific physical laws. In the context of a Physical Theory, the physical quantities and the physical laws ar…