55 citations · 486 across the 49 of their papers we have counts for
Showing 2012Show all
2 papers · 1 filter
math-ph2012★ 29 cited
Lie--Hamilton systems: theory and applications
J. F. Cariñena, J. de Lucas, C. Sardón
This work concerns the definition and analysis of a new class of Lie systems on Poisson manifolds enjoying rich geometric features: the Lie--Hamilton systems. We devise methods to…
math.CA2012★ 14 cited
Mixed superposition rules and the Riccati hierarchy
Janusz Grabowski, Javier de Lucas
Mixed superposition rules, i.e., functions describing the general solution of a system of first-order differential equations in terms of a generic family of particular solutions of…