The generalized Ermakov conservative system: a discussion
Faculty of Physics, Department of Astronomy-Astrophysics-Mechanics, University of Athens, Panepistemiopolis, 157 83, Athens, Greece
Accepted: 5 September 2021
Published online: 13 September 2021
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-generalized Ermakov system can be obtained as special case of a more general approach. This approach is geometric and can be used to study efficiently similar dynamical systems.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021