Geodesics deviation equation approach to chaos
chao-dyn
2007-05-23 v1 Chaotic Dynamics
Abstract
Geodesics deviation equation (GDE) is itroduced. In "adiabatic" approximation exact solution of the GDE if found. Perturbation theory in general case is formulated. Geometrical criterion of local instability which may lead to chaos is formulated.
Keywords
Cite
@article{arxiv.chao-dyn/9901007,
title = {Geodesics deviation equation approach to chaos},
author = {Tomasz Dobrowolski and Jerzy Szczesny},
journal= {arXiv preprint arXiv:chao-dyn/9901007},
year = {2007}
}