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2013 Control of Hopf Bifurcation in Autonomous System Based on Washout Filter
Wenju Du, Yandong Chu, Jiangang Zhang, Yingxiang Chang, Jianning Yu, Xinlei An
J. Appl. Math. 2013: 1-16 (2013). DOI: 10.1155/2013/482351

Abstract

In order to further understand a Lorenz-like system, we study the stability of the equilibrium points and the existence of Hopf bifurcation by center manifold theorem and normal form theory. More precisely, we designed a washout controller such that the equilibrium E0 undergoes a controllable Hopf bifurcation, and by adjusting the controller parameters, we delayed Hopf bifurcation phenomenon of the equilibrium E+. Besides, numerical simulation is given to illustrate the theoretical analysis. Finally, two possible electronic circuits are given to realize the uncontrolled and the controlled systems.

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Wenju Du. Yandong Chu. Jiangang Zhang. Yingxiang Chang. Jianning Yu. Xinlei An. "Control of Hopf Bifurcation in Autonomous System Based on Washout Filter." J. Appl. Math. 2013 1 - 16, 2013. https://doi.org/10.1155/2013/482351

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950699
MathSciNet: MR3124589
Digital Object Identifier: 10.1155/2013/482351

Rights: Copyright © 2013 Hindawi

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