43 citations · 243 across the 18 of their papers we have counts for
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nlin.SI2014★ 7 cited
An integrable Henon-Heiles system on the sphere and the hyperbolic plane
Angel Ballesteros, Alfonso Blasco, Francisco J. Herranz +1
We construct a constant curvature analogue on the two-dimensional sphere and the hyperbolic space of the integrable Hénon-Heiles Hamiltonian $\mathc…
math-ph2014★ 26 cited
Lie-Hamilton systems on the plane: Applications and superposition rules
A. Blasco, F. J. Herranz, J. de Lucas +1
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…
nlin.SI2014★ 18 cited
A new integrable anisotropic oscillator on the two-dimensional sphere and the hyperbolic plane
Angel Ballesteros, Alfonso Blasco, Francisco J. Herranz +1
A new integrable generalization to the 2D sphere and to the hyperbolic space of the 2D Euclidean anisotropic oscillator Hamiltonian with Rosochatius (centrifugal) terms…