Gabriele Benedetti

I study the time evolution of conservative physical systems defined on curved spaces, or, in more precise terms, the dynamics of Hamiltonian systems on symplectic manifolds. Examples of such systems are ubiquitous in nature: from the orbits of planets in our galaxy, to the trajectories of ionized particles in the atmosphere, passing through the motions of three-dimensional rigid bodies. My ultimate goal is to discover relationships between the shape (also known as topology) of the space and dynamical properties of the physical system (chaotic or stable motions). I am very much interested in analyzing this general circle of ideas in the concrete and fascinating model given by the motion of a charged particle under the effect of a magnetic field.