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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 706902, 11 pages
Research Article

A Sinusoidally Driven Lorenz System and Circuit Implementation

1School of Automation, Guangdong University of Technology, Guangzhou 510006, China
2Department of Physics and Electronic Science, Binzhou University, Binzhou 256603, China
3School of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, China

Received 3 February 2015; Revised 6 May 2015; Accepted 10 May 2015

Academic Editor: Oded Gottlieb

Copyright © 2015 Chunyan Han et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Another approach is developed for generating two-wing hyperchaotic attractor, four-wing chaotic attractor, and high periodic orbits such as period-14 from a sinusoidally driven based canonical Lorenz system. A sinusoidal function controller is introduced into a 3D autonomous Lorenz system, so that the abovementioned various hyperchaotic attractors, chaotic attractors, and high periodic orbits can be obtained, respectively, by adjusting the frequency of the sine function. In addition, an analog circuit and a digital circuit are also designed and implemented, with experimental results demonstrated. Both numerical simulations and circuit implementation together show the effectiveness of the proposed systematic methodology.