Finite-time Lyapunov spectrum for chaotic orbits of non-integrable Hamiltonian systems

We claim that dynamical traps displayed by chaotic orbits of non-integrable Hamiltonian systems can be characterized using properties of the finite-time Lyapunov exponent. We show that, for the case where the phase space presents stickiness regions, the distribution of the finite-time Lyapunov exponent is bimodal, while, for the case where no such regions exist, the distribution is a Gaussian-like one.