Geometry of Dynamical Systems
Astrophysics
2007-05-23 v1 General Relativity and Quantum Cosmology
Dynamical Systems
Abstract
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.
Cite
@article{arxiv.astro-ph/0411595,
title = {Geometry of Dynamical Systems},
author = {A. A. Kocharyan},
journal= {arXiv preprint arXiv:astro-ph/0411595},
year = {2007}
}
Comments
14 pages