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

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

1998-07-09

arxiv.org/abs/chao-dyn/9807016v1

Phys.Rev.Lett. 81, 5532 (1998)

Physics

Mathematical Physics

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

Scientific paper

10.1103/PhysRevLett.81.5532

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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