Design and analysis of multiscroll chaotic attractors from saturated function series
Jinhu Lu
Guanrong Chen
Xinghuo Yu
Leung, H.
Inst. of Syst. Sci., Chinese Acad. of Sci., Beijing, China;
This paper appears in: Circuits and Systems I: Regular Papers, IEEE Transactions on
Publication Date: Dec. 2004
Volume: 51,
Issue: 12
On page(s): 2476- 2490
ISSN: 1549-8328
INSPEC Accession Number: 8241545
Digital Object Identifier: 10.1109/TCSI.2004.838151
Current Version Published: 2004-12-06
Abstract
This paper initiates a saturated function series approach for chaos generation. The systematic saturated function series methodology developed here can create multiscroll chaotic attractors from a three-dimensional (3D) linear autonomous system with a simple saturated function series controller, including one-directional n-scroll, two-directional n×m-grid scroll, and 3-D n×m×l-grid scroll chaotic attractors. The dynamical behaviors and chaos generation mechanism of multiscroll systems are further investigated by analyzing the system trajectories. In particular, a two-dimensional (2D) Poincare´ return map is rigorously derived for verifying the chaotic behaviors of the double-scroll chaotic attractor, which is a basic generator of various multiscroll chaotic attractors investigated in the paper.
Index
Terms
Available to subscribers and IEEE members.
References
Available to subscribers and IEEE members.
Citing Documents
Available to subscribers and IEEE members.
Cart
