A general mechanism of instability in Hamiltonian systems: Skipping along a normally hyperbolic invariant manifold
A general mechanism of instability in Hamiltonian systems: Skipping along a normally hyperbolic invariant manifold
We describe a recent method to show instability in Hamiltonian systems. The main hypothesis of the method is that some explicit transversality conditions – which can be verified in concrete systems by finite calculations – are satisfied.In particular, for several types of perturbations of integrable Hamiltonian systems, the hypothesis can …