11 citations · 11 across the 1 of their papers we have counts for
2 papers
gr-qc2018
Quadratic conservation laws and collineations: a discussion
Leonidas Karpathopoulos, Michael Tsamparlis, Andronikos Paliathanasis
Every second order system of autonomous differential equations can be described by an autonomous holonomic dynamical system with a Lagrangian part, an effective potential and a set…
math.CA2017★ 11 cited
Lie and Noether point Symmetries for a Class of Nonautonomous Dynamical Systems
Leonidas Karpathopoulos, Andronikos Paliathanasis, Michael Tsamparlis
We prove two general theorems which determine the Lie and the Noether point symmetries for the equations of motion of a dynamical system which moves in a general Riemannian space u…