Some open problems in dynamical systems (Q1126732)

The author gives a list of open problems in dynamical systems, divided into 7 parts: 1. Siegel singular disks, 2. Invariant tori, 3. Questions of measure preserving diffeomorphisms on 2-manifolds, 4. Entropy and exponents, 5. Existence of periodic orbits, 6. Instabilities of the Hamiltonian flow on \(T^*T^n\), \(n \geq 3\), and the problem of topological stability, 7. The oldest open problem in dynamical systems (the problems here are connected with n-body problems and bounded orbits).