DYNAMICAL TRAJECTORIES OF SIMPLE DYNAMICAL-SYSTEMS AS GEODESICS - IN SEARCHING FOR INVARIANT CRITERIA OF CHAOS IN GENERAL-RELATIVITY

Authors
Citation
M. Szydlowski, DYNAMICAL TRAJECTORIES OF SIMPLE DYNAMICAL-SYSTEMS AS GEODESICS - IN SEARCHING FOR INVARIANT CRITERIA OF CHAOS IN GENERAL-RELATIVITY, Chaos, solitons and fractals, 9(1-2), 1998, pp. 95-103
Citations number
5
Categorie Soggetti
Mathematics,"Physycs, Mathematical",Mathematics,Physics,"Physycs, Mathematical
ISSN journal
09600779
Volume
9
Issue
1-2
Year of publication
1998
Pages
95 - 103
Database
ISI
SICI code
0960-0779(1998)9:1-2<95:DTOSDA>2.0.ZU;2-J
Abstract
We will investigate the possibility of describing the chaotic behaviou r of trajectories of simple mechanical systems by means of elementary tools of Riemannian differential geometry. From the curvature properti es of a Riemannian manifold some relevant consequences about stability (instability) properties of its geodesics can be derived. It is impor tant to remark that this information about stability (instability) has an invariant character because they are obtained from the internal Ri emannian geometry. (C) 1998 Elsevier Science Ltd. All rights reserved.