# Finsler Geometric Local Indicator of Chaos for Single Orbits in the Hénon-Heiles Hamiltonian

@article{Cipriani1998FinslerGL, title={Finsler Geometric Local Indicator of Chaos for Single Orbits in the H{\'e}non-Heiles Hamiltonian}, author={Piero Cipriani and Maria Teresa Di Bari}, journal={Physical Review Letters}, year={1998}, volume={81}, pages={5532-5535} }

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.

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