77 citations · 253 across the 15 of their papers we have counts for
3 papers · 1 filter
Lie-Hamilton systems on the plane: properties, classification and applications
A. Ballesteros, A. Blasco, F. J. Herranz +2
We study Lie-Hamilton systems on the plane, i.e. systems of first-order differential equations describing the integral curves of a -dependent vector field taking values in a fin…
From constants of motion to superposition rules for Lie-Hamilton systems
A. Ballesteros, J. F. Cariñena, F. J. Herranz +2
A Lie system is a nonautonomous system of first-order differential equations possessing a superposition rule, i.e. a map expressing its general solution in terms of a generic finit…
Dirac--Lie systems and Schwarzian equations
J. F. Cariñena, J. Grabowski, J. de Lucas +1
A Lie system is a system of differential equations admitting a superposition rule, i.e., a function describing its general solution in terms of any generic set of particular soluti…