20 Feb 2001

Boris Kruglikov "Positive topological entropy of integrable systems: Integrability".

On the second lecture we discuss different integrable systems. We will consider only Hamiltonian systems and especially (as the very important) holonomic and non-holonomic geodesic flows (on the region of positive energy). We overview some simple connections between their integrability and entropies. If the time allows we consider the zero-energy level in the non-holonomic case (abnormals).