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math.DS2024
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…
math.DS2020★ 34 cited
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…