Characterization of the local instability in the Hénon–Heiles Hamiltonian

Abstract

Several prototypical distributions of finite-time Lyapunov exponents have been computed for the two-dimensional Hénon– Heiles Hamiltonian system. Different shapes are obtained for each dynamical state. Even when an evolution is observed in the morphology of the distributions for the smallest integration intervals, they can still serve for characterizing the dynamical state of the system.