Chaos-hyperchaos transition in coupled Rossler systems

Citation
S. Yanchuk et T. Kapitaniak, Chaos-hyperchaos transition in coupled Rossler systems, PHYS LETT A, 290(3-4), 2001, pp. 139-144
Citations number
17
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
0375-9601 → ACNP
Volume
290
Issue
3-4
Year of publication
2001
Pages
139 - 144
Database
ISI
SICI code
0375-9601(20011112)290:3-4<139:CTICRS>2.0.ZU;2-9
Abstract
Many of the nonlinear high-dimensional systems have hyperchaotic attractors . Typical trajectory on such attractors is characterized by at least two po sitive Lyapunov exponents. We provide numerical evidence that chaos-hyperch aos transition in six-dimensional dynamical system given by flow can be cha racterized by the set of infinite number of unstable periodic orbits embedd ed in the attractor as it was previously shown for the case of two coupled discrete maps. (C) 2001 Elsevier Science B.V. All rights reserved.