Analysis and control of multiple chaotic attractors from a three-dimensional system
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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Pages (from-to) | 138-150 |
Journal / Publication | Applied Mathematics and Computation |
Volume | 268 |
Online published | 9 Jul 2015 |
Publication status | Published - 1 Oct 2015 |
Externally published | Yes |
Link(s)
Abstract
This paper studies a three-dimensional multiple chaotic system with three quadratic nonlinear terms. The system is shown to exhibit multiple periodic attractors and multiple chaotic attractors including a four-scroll chaotic attractor. It is shown analytically and numerically that any neighborhood of the four-scroll chaotic attractor contains repelling sets with positive Lebesgue measures. Moreover, in terms of incommensurate fractional order systems, a simple fractional differentiator-based controller is designed to suppress chaos. Some basic dynamical behaviors of the system are investigated through analytical techniques and numerical simulation.
Research Area(s)
- Basin of attraction, Chaos control, Chaotic system, Fractional-order controller, Lyapunov exponents, Multiple attractors
Citation Format(s)
Analysis and control of multiple chaotic attractors from a three-dimensional system. / Zhong, Xiaoyun; Peng, Minfang; Tse, Chi K. et al.
In: Applied Mathematics and Computation, Vol. 268, 01.10.2015, p. 138-150.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review