15 citations · 88 across the 16 of their papers we have counts for
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Integrable time-dependent central potentials
Antonios Mitsopoulos, Michael Tsamparlis
The integrable time-dependent central potentials that admit linear and quadratic first integrals other than those constructed from the angular momentum are determined. It is shown…
Higher order first integrals of autonomous dynamical systems
Antonios Mitsopoulos, Michael Tsamparlis
A theorem is derived which determines higher order first integrals of autonomous holonomic dynamical systems in a general space, provided the collineations and the Killing tensors…
The generalized Ermakov conservative system: A discussion
Antonios Mitsopoulos, Michael Tsamparlis
Using older and recent results on the integrability of two-dimensional (2d) dynamical systems, we prove that the results obtained in a recent publication concerning the 2d generali…
Quadratic first integrals of time-dependent dynamical systems of the form
Antonios Mitsopoulos, Michael Tsamparlis
We consider the time-dependent dynamical system where is a non-zero arbitrary function and the connection coef…
New conservation laws and exact cosmological solutions in Brans-Dicke cosmology with an extra scalar field
Antonios Mitsopoulos, Michael Tsamparlis, Genly Leon +1
The derivation of conservation laws and invariant functions is an essential procedure for the investigation of nonlinear dynamical systems. In this study we consider a two-field co…