Project CEMAPRE internal
| Title | Generic conservative systems with positive topological entropy |
| Participants | José Pedro Gaivão (Principal Investigator), João Lopes Dias |
| Summary | Since the late 19th century, when the work of Poincaré on Celestial Mechanics opened a major new field called Dynamical Systems, it was realised that nonlinear systems have, in general, complicated dynamics which are very hard to describe. A measure that quantifies the complexity of dynamics is the topological entropy. Dynamical systems with positive topological entropy have characteristics similar to that of a random walk. This project addresses the genericity in low topologies of the positivity of topological entropy for a class of conservative systems, namely: Tonelli Hamiltonian systems and billiards inside strictly convex bodies. |