The generalized Ermakov conservative system: A discussion

Abstract

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 cases of a more general approach. This approach is geometric and can be used to study efficiently similar dynamical systems.

References in corpus (2)

• Two dimensional dynamical systems which admit Lie and Noether symmetries
• Quadratic first integrals of time-dependent dynamical systems of the form ${\ddot{q}}^a=-{\Gamma }_{bc}^a{\dot{q}}^b{\dot{q}}^c-\omega (t)Q^a(q)$

Cited by in corpus (1)

• Symmetries and conservation laws for the generalized $n$-dimensional Ermakov system