Geodesic deviation equation approach to chaos

Authors
Szczesny, J Dobrowolski, T
Citation
J. Szczesny et T. Dobrowolski, Geodesic deviation equation approach to chaos, ANN PHYSICS, 277(2), 1999, pp. 161-176
Citations number
7
Categorie Soggetti
Physics
Journal title
ANNALS OF PHYSICS
ISSN journal
00034916 → ACNP
Volume
277
Issue
2
Year of publication
1999
Pages
161 - 176
Database
ISI
SICI code
0003-4916(19991101)277:2<161:GDEATC>2.0.ZU;2-4
Abstract
A geodesic deviation equation is introduced. In an "adiabatic" approximatio n its exact solution is found. Perturbation theory in general case is formu lated. A geometrical criterion of local instability which may lead to chaos is formulated. (C) 1999 Academic Press.