Published February 2007
| Version v1
Journal article
Suppression and generation of chaos for a three-dimensional autonomous system using parametric perturbations
- 1. Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hong Kong (China)
- 2. School of Mathematics and Statistics, Wuhan University, Hubei 430072 (China)
- 3. School of Electrical, Electronic and Computer Engineering, University of Western Australia (Australia)
Description
In this paper, we attempt to suppress or generate chaos in the newly presented Lu e system using parametric perturbation. We find that this method not only suppresses chaotic behavior, but also induces chaos in non-chaotic parameter ranges. When we add the small sinusoidal perturbations, the system becomes four-dimension. From the calculation of Lyapunov exponents, we discover hyperchaos in the perturbed system, which has not yet been reported before
Additional details
Identifiers
- DOI
- 10.1016/j.chaos.2005.10.050;
- PII
- S0960-0779(05)00985-9;
Publishing Information
- Journal Title
- Chaos, Solitons and Fractals
- Journal Volume
- 31
- Journal Issue
- 4
- Journal Page Range
- p. 811-819
- ISSN
- 0960-0779
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 38014845
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CHAOS THEORY; LYAPUNOV METHOD; PARAMETRIC ANALYSIS; PERTURBATION THEORY; THREE-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- CALCULATION METHODS; MATHEMATICS
Optional Information
- Copyright
- Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.