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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e-mail: mariateresa.dibari@fis.unipr.it

    Coloured versions of the plots at different energies, are available on request to P.C.'s e-mail address above