15 citations · 88 across the 16 of their papers we have counts for
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Higher order first integrals of autonomous non-Riemannian dynamical systems
Antonios Mitsopoulos, Michael Tsamparlis, Aniekan Magnus Ukpong
We consider autonomous holonomic dynamical systems defined by equations of the form , where are the…
Cubic first integrals of autonomous dynamical systems in by an algorithmic approach
Antonios Mitsopoulos, Michael Tsamparlis
In a recent paper (A. Mitsopoulos and M. Tsamparlis, J. Geom. Phys. 170, 104383, 2021), a general theorem is given which provides an algorithmic method for the computation of first…
Higher order first integrals of autonomous dynamical systems in terms of geometric symmetries
Antonios Mitsopoulos, Michael Tsamparlis
In general, a system of differential equations is integrable if there exist `sufficiently many' first integrals (FIs) so that its solution can be found by means of quadratures. The…
Integrable and superintegrable 3d Newtonian potentials using quadratic first integrals: A review
Antonios Mitsopoulos, Michael Tsamparlis
The determination of the first integrals (FIs) of a dynamical system and the subsequent assessment of their integrability or superintegrability in a systematic way is still an open…