83 citations · 322 across the 19 of their papers we have counts for
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Haantjes Algebras of Classical Integrable Systems
Piergiulio Tempesta, Giorgio Tondo
A tensorial approach to the theory of classical Hamiltonian integrable systems is proposed, based on the geometry of Haantjes tensors. We introduce the class of symplectic-Haantjes…
Generalized Lenard Chains, Separation of Variables and Superintegrability
Piergiulio Tempesta, Giorgio Tondo
We show that the notion of generalized Lenard chains naturally allows formulation of the theory of multi-separable and superintegrable systems in the context of bi-Hamiltonian geom…
Separation of variables in multi-Hamiltonian systems: an application to the Lagrange top
C. Morosi, G. Tondo
Starting from the tri-Hamiltonian formulation of the Lagrange top in a six-dimensional phase space, we discuss the reduction of the vector field and of the Poisson tensors. We show…
The quasi-bi-Hamiltonian formulation of the Lagrange top
C. Morosi, G. Tondo
Starting from the tri-Hamiltonian formulation of the Lagrange top in a six-dimensional phase space, we discuss the possible reductions of the Poisson tensors, the vector field and…