43 citations · 243 across the 18 of their papers we have counts for
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Integrable deformations of Rössler and Lorenz systems from Poisson-Lie groups
Angel Ballesteros, Alfonso Blasco, Fabio Musso
A method to construct integrable deformations of Hamiltonian systems of ODEs endowed with Lie-Poisson symmetries is proposed by considering Poisson-Lie groups as deformations of Li…
A curved Henon-Heiles system and its integrable perturbations
Angel Ballesteros, Alfonso Blasco, Francisco J. Herranz
The constant curvature analogue on the two-dimensional sphere and the hyperbolic space of the integrable Hénon-Heiles Hamiltonian given by $$ \mathcal{H}=\dfrac{1}{2}…
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…
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…
Integrable deformations of Lotka-Volterra systems
Angel Ballesteros, Alfonso Blasco, Fabio Musso
The Hamiltonian structure of a class of three-dimensional (3D) Lotka-Volterra (LV) equations is revisited from a novel point of view by showing that the quadratic Poisson structure…
Integrable perturbations of the N-dimensional isotropic oscillator
Angel Ballesteros, Alfonso Blasco
Two new families of completely integrable perturbations of the N-dimensional isotropic harmonic oscillator Hamiltonian are presented. Such perturbations depend on arbitrary functio…