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Lie–Hamilton systems on the plane: applications and superposition rules
A Lie–Hamilton (LH) system is a nonautonomous system of first-order ordinary differential equations describing the integral curves of a t-dependent vector field taking values in a finite-dimensional…
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Hamiltonian structure of compartmental epidemiological models
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Exact closed-form solution of a modified SIR model.
The exact analytical solution in closed form of a modified SIR system is presented. This is, to the best of our knowledge, the first closed-form solution for a three-dimensional deterministic…
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Lie-Hamilton systems on the plane: Properties, classification and applications
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A new integrable anisotropic oscillator on the two-dimensional sphere and the hyperbolic plane
A new integrable generalization to the two-dimensional (2D) sphere, S 2 ?> , and to the hyperbolic space, H 2 ?> , of the 2D Euclidean anisotropic oscillator Hamiltonian with Rosochatius…
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(Super)integrability from coalgebra symmetry: formalism and applications
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 framework is…
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An integrable Hénon–Heiles system on the sphere and the hyperbolic plane
We construct a constant curvature analogue on the two-dimensional sphere S2 ?> and the hyperbolic space H2 ?> of the integrable Hénon–Heiles Hamiltonian H ?> given by H=12(…
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Integrable deformations of Lotka–Volterra systems
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Integrable deformations of Rössler and Lorenz systems from Poisson–Lie groups
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Integrable Henon-Heiles Hamiltonians: a Poisson algebra approach
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