On the influence of noise on the coexistence of chaotic attractors

Citation
J. Argyris et I. Andreadis, On the influence of noise on the coexistence of chaotic attractors, CHAOS SOL F, 11(6), 2000, pp. 941-946
Citations number
22
Categorie Soggetti
Multidisciplinary
Journal title
CHAOS SOLITONS & FRACTALS
ISSN journal
09600779 → ACNP
Volume
11
Issue
6
Year of publication
2000
Pages
941 - 946
Database
ISI
SICI code
0960-0779(200005)11:6<941:OTIONO>2.0.ZU;2-K
Abstract
In this paper, we study the influence of noise on a mathematical model whic h contains the coexistence of chaotic attractors. In particular, applicatio n to the case of a coexistence of a Lorenz and a Rossler dynamic system is provided. Furthermore, numerical investigations concerning the stability of the Chua's double chaotic attractor under stochastic perturbations of the initial conditions are proposed. (C) 2000 Elsevier Science Ltd. All rights reserved.