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

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.

4 pages, plus 3 postscript figures (2 available on request due to huge size!). Submitted to PRL

References in corpus (1)

• Geometric Interpretation of Chaos in Two-Dimensional Hamiltonian Systems

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