Geometry of Dynamical Systems
天体物理学
2007-05-23 v1 广义相对论与量子宇宙学
动力系统
摘要
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.
引用
@article{arxiv.astro-ph/0411595,
title = {Geometry of Dynamical Systems},
author = {A. A. Kocharyan},
journal= {arXiv preprint arXiv:astro-ph/0411595},
year = {2007}
}
备注
14 pages