Research Activity

My research activity focusses on Dynamical Systems and Celestial Mechanics.

The main topics are the following:

• Kolmogorov-Arnold-Moser (KAM) theory in conservative and conformally symplectic systems
• Development of optimal estimates in the framework of the Kolmogorov-Arnold-Moser (KAM) theory and Nekhoroshev theorem
• Dynamics of nearly-integrable systems with dissipation
• Stability results for the spin-orbit interaction, the Lagrangian equilibrium points, the J2 problem and the three-body problem in Celestial Mechanics
• Investigation of the complex singularities of KAM surfaces
• Capture into resonance and construction of librational invariant surfaces
• Development of numerical methods for the computation of the break-down threshold of invariant (rotational and librational) surfaces
• Orbital determination and space debris dynamics
• Applications of dynamical systems to neurobiology
• Space Manifold Dynamics (SMD)
• Construction of periodic orbits and investigation of the behaviour of resonances in Celestial Mechanics