Geometry of Dynamical Systems

Details Geometry of Dynamical Systems Geometry of Dynamical Systems

2004-11-22

arxiv.org/abs/astro-ph/0411595v1

In "Proceedings of the Fourth Monash General Relativity Workshop", Eds A.Lun, L.Brewin, E.Chow, p. 38, Melbourne, 1993. This a

Astronomy and Astrophysics

Astrophysics

14 pages

Scientific paper

We propose a geometrical approach to the investigation of Hamiltonian systems
on (Pseudo) Riemannian manifolds. A new geometrical criterion of instability
and chaos is proposed. This approach is more generic than well known reduction
to the geodesic flow. It is applicable to various astrophysical and
cosmological problems.

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