Antonios Mitsopoulos

activity

20182023

most citedFirst integrals of holonomic systems without Noether symmetries

15 citations · 88 across the 16 of their papers we have counts for

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3 papers · 1 filter

math-ph2020★ 15 cited

First integrals of holonomic systems without Noether symmetries

Michael Tsamparlis, Antonios Mitsopoulos

A theorem is proved which determines the first integrals of the form $I = K_{ab} (t, q) q ˙^{a} q ˙^{b} + K_{a} (t, q) q ˙^{a} + K (t, q)$ of autonomous holonomic systems using only t…

math-ph2020★ 11 cited

Integrable and Superintegrable Potentials of 2d Autonomous Conservative Dynamical Systems

Antonios Mitsopoulos, Michael Tsamparlis, Andronikos Paliathanasis

We consider the generic quadratic first integral (QFI) of the form $I = K_{ab} (t, q) q ˙^{a} q ˙^{b} + K_{a} (t, q) q ˙^{a} + K (t, q)$ and require the condition $d I / d t = 0$ . The latte…

math-ph2020★ 15 cited

Quadratic first integrals of autonomous conservative dynamical systems

Michael Tsamparlis, Antonios Mitsopoulos

An autonomous dynamical system is described by a system of second order differential equations whose solution gives the trajectories of the system. The solution is facilitated by t…