43 citations · 243 across the 18 of their papers we have counts for
18 papers
Integrable deformations of Rikitake systems, Lie bialgebras and bi-Hamiltonian structures
Angel Ballesteros, Alfonso Blasco, Ivan Gutierrez-Sagredo
Integrable deformations of a class of Rikitake dynamical systems are constructed by deforming their underlying Lie-Poisson Hamiltonian structures, which are considered linearizatio…
Higher-order superintegrable momentum-dependent Hamiltonians on curved spaces from the classical Zernike system
Alfonso Blasco, Ivan Gutierrez-Sagredo, Francisco J. Herranz
We consider the classical momentum- or velocity-dependent two-dimensional Hamiltonian given by where …
Hamiltonian structure of compartmental epidemiological models
Angel Ballesteros, Alfonso Blasco, Ivan Gutierrez-Sagredo
Any epidemiological compartmental model with constant population is shown to be a Hamiltonian dynamical system in which the total population plays the role of the Hamiltonian funct…
Exact closed-form solution of a modified SIR model
Angel Ballesteros, Alfonso Blasco, Ivan Gutierrez-Sagredo
The exact analytical solution in closed form of a modified SIR system where recovered individuals are removed from the population is presented. In this dynamical system the populat…
Curvature as an integrable deformation
Angel Ballesteros, Alfonso Blasco, Francisco J. Herranz
The generalization of (super)integrable Euclidean classical Hamiltonian systems to the two-dimensional sphere and the hyperbolic space by preserving their (super)integrability prop…
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…