Università di Padova - Dipartimento di Matematica Pura ed Applicata Francesco Fassò

My current research interests concern:

Integrable Hamiltonian systems:
Geometry of integrable Hamiltonian systems (especially `degenerate' or `superintegrable' systems) [9,10,16,22].

Nearly integrable Hamiltonian systems:
Nekhoroshev theory and its applications to various problems from 

• Mechanics: fast rotating rigid bodies [8,11,13,21],  stability of  elliptic (relative) equilibria of hamiltonian systems [15,17,24] including the Riemann Ellipsoids [19],  adiabatic invariants [12]
• Celestial Mechanics [18]
• Physics [3,5]
• Numerical analysis and symplectic integrators [14,20].

A geometric `global' formulation of Nekhoroshev theorem for superintegrable systems is the object of [6,7].

Integrability of nonholonomic systems:
A new research field.

Numerical methods for Hamiltonian systems:
Especially for the rigid body [20,23] but also normal forms investigation to detect stability of elliptic equilibria [24]. 

(The numbers refer to the list of publications)
 

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