Bifurcation control in small-world networks

Authors:
Zunshui Cheng;Jinde Cao
Affiliations:
School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao 266061, China;Department of Mathematics, Southeast University, Nanjing 210096, China
Venue:
Neurocomputing
Year:
2009

Citing 2
Cited 0

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Abstract

In this paper, the problem of Hopf bifurcation control is considered for a small-world network model with time delays. We know that for the system without control, as the positive gain parameter of the system passes a critical point, Hopf bifurcation occurs. To control the Hopf bifurcation, a time-delayed feedback controller is proposed to delay the onset of an inherent bifurcation when such bifurcation is undesired. Numerical simulation results confirm that the new feedback controller using time delay is efficient in controlling Hopf bifurcation.