arXiv subjects

Maria Di Bari

Publications and source records attributed to Maria Di Bari.

2 recordsLinked to original sources

arXiv1998

The (In)stability of Bianchi IX Dynamics: Geodesic Deviation Equations in Finsler Spaces

We explore the dynamical stability of the minisuperspace Hamiltonian of the Bianchi IX cosmological models, giving a gauge-invariant and unapproximated description of the full continuous dynamics, achieved through a geometrical description of the equations of motion in the framework of the theory of Finsler Spaces. The numerical integrations of the geodesics and geodesic deviation equations show clearly the absence of any "traditional" signature of Chaos, while suggesting a chaotic scattering dynamics scenario.

gr-qc↗

arXiv1998

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

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.

chao-dyn↗