Finsler Geometric Local Indicator of Chaos for single orbits in the   Henon-Heiles hamiltonian
  Translating the dynamics of the Henon--Heiles hamiltonian as a geodesic flow on a Finsler manifold, we obtain a local and synthetic Geometric Indicator of Chaos (GIC) for two degrees of freedom continuous dynamical systems. It represents a link between local quantities and asymptotic behaviour of orbits giving a strikingly evident, one-to-one, correspondence between geometry and instability. 
Piero Cipriani and Maria Di Bari