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Finsler Geometric Local Indicator of Chaos for single orbits in the Henon-Heiles hamiltonian

Piero Cipriani·Maria Di Bari
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Abstract

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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Piero Cipriani, Maria Di Bari. 1998-07-09. Finsler Geometric Local Indicator of Chaos for single orbits in the Henon-Heiles hamiltonian. https://doi.org/10.1103/physrevlett.81.5532

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