Controlling bifurcations and chaos in discrete small-world networks
Liu Feng(刘峰)a)b) † , Guan Zhi-Hong(关治洪)b), and Wang Hua(王华)b)c)
aSchool of Electronic Information and Mechanics, China University of Geosciences, Wuhan 430074, China; b Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China; c Department of Aerospace Mechanical Engineering, Boston University, Boston, MA 02215, USA
Abstract We propose an impulsive hybrid control method to control the period-doubling bifurcations and stabilize unstable periodic orbits embedded in a chaotic attractor of a small-world network. Simulation results show that the bifurcations can be delayed or completely eliminated. A periodic orbit of the system can be controlled to any desired periodic orbit by using this method.
Received: 07 November 2006
Revised: 16 November 2007
Accepted manuscript online:
Fund: Project supported by the Research
Foundation for Outstanding Young Teachers of China University of
Geosciences, China (Grant No CUGNL0637) and the National Natural
Science Foundation of China
(Grant Nos 60573005, 60603006 and 60628301).
Cite this article:
Liu Feng(刘峰), Guan Zhi-Hong(关治洪), and Wang Hua(王华) Controlling bifurcations and chaos in discrete small-world networks 2008 Chin. Phys. B 17 2405
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