LIE DERIVATIVES AND DYNAMICAL-SYSTEMS

Authors
KOCAREV L PARLITZ U HU BB
Citation
L. Kocarev et al., LIE DERIVATIVES AND DYNAMICAL-SYSTEMS, Chaos, solitons and fractals, 9(8), 1998, pp. 1359-1366
Citations number
33
Categorie Soggetti
Mathematics,"Physycs, Mathematical",Mathematics,Physics,"Physycs, Mathematical
Journal title
Chaos, solitons and fractals → ACNP
ISSN journal
09600779
Volume
9
Issue
8
Year of publication
1998
Pages
1359 - 1366
Database
ISI
SICI code
0960-0779(1998)9:8<1359:LDAD>2.0.ZU;2-#
Abstract
Applications of Lie derivatives in chaos synchronization and localizat ion of periodic orbits are discussed. We present examples illustrating how one can construct a system that synchronizes with a given dynamic al system, and how one can find a set that contains all periodic orbit s of a dynamical system. PACS numbers: 05.45 + b, 64.60.Cn - (C) 1998 Elsevier Science Ltd. All rights reserved.