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