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Get Free AccessThis 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/spl times/m-grid scroll, and 3-D n/spl times/m/spl times/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/spl acute/ 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.
Jinhu Lü, Guanrong Chen, Xinghuo Yu, Henry Leung (2004). Design and Analysis of Multiscroll Chaotic Attractors From Saturated Function Series. IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications, 51(12), pp. 2476-2490, DOI: 10.1109/tcsi.2004.838151.
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Type
Article
Year
2004
Authors
4
Datasets
0
Total Files
0
Language
English
Journal
IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications
DOI
10.1109/tcsi.2004.838151
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