Control of Hopf Bifurcation in Autonomous System Based on Washout Filter

Wenju Du, Yandong Chu, Jiangang Zhang, Yingxiang Chang, Jianning Yu and Xinlei An

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/482351

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:482351

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