55 citations · 486 across the 49 of their papers we have counts for
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Lie-Hamilton systems on curved spaces: A geometrical approach
Francisco J. Herranz, Javier de Lucas, Mariusz Tobolski
A Lie-Hamilton system is a nonautonomous system of first-order ordinary differential equations describing the integral curves of a -dependent vector field taking values in a fin…
A Lie systems approach to the Riccati hierarchy and partial differential equations
J. de Lucas, A. M. Grundland
It is proved that the members of the Riccati hierarchy, the so-called Riccati chain equations, can be considered as particular cases of projective Riccati equations, which greatly…
Lie systems and Schrödinger equations
J. F. Cariñena, J. Clemente-Gallardo, J. A. Jover-Galtier +1
We prove that -dependent Schrödinger equations on finite-dimensional Hilbert spaces determined by -dependent Hermitian Hamiltonian operators can be described through Lie syst…
Geometry of Riccati equations over normed division algebras
J. de Lucas, M. Tobolski, S. Vilariño
This work presents and studies Riccati equations over finite-dimensional normed division algebras. We prove that a Riccati equation over a finite-dimensional normed division algebr…