33 citations · 55 across the 3 of their papers we have counts for
3 papers · 1 filter
Integrable Henon-Heiles Hamiltonians: a Poisson algebra approach
Angel Ballesteros, Alfonso Blasco
The three integrable two-dimensional Henon-Heiles systems and their integrable perturbations are revisited. A family of new integrable perturbations is found, and N-dimensional com…
(Super)integrability from coalgebra symmetry: formalism and applications
Angel Ballesteros, Alfonso Blasco, Francisco J. Herranz +2
The coalgebra approach to the construction of classical integrable systems from Poisson coalgebras is reviewed, and the essential role played by symplectic realizations in this fra…
N-dimensional integrability from two-photon coalgebra symmetry
Angel Ballesteros, Alfonso Blasco, Francisco J. Herranz
A wide class of Hamiltonian systems with N degrees of freedom and endowed with, at least, (N-2) functionally independent integrals of motion in involution is constructed by making…