Control of Hopf bifurcation in autonomous system based on washout filter
type: Item
instance of: scholarly article
title: Control of Hopf bifurcation in autonomous system based on washout filter
zbMATH Open document ID: 1397.34077
DOI: 10.1155/2013/482351
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: 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 \(E_0\) 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.
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34H05
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 34D45
Mathematics Subject Classification ID: 94C05
zbMATH DE Number: 6950699
Wikidata QID: Q59006194
author: Wenju Du
author: Yan-Dong Chu
author: Jiangang Zhang
author: Ying-Xiang Chang
author: Jianning Yu
author: Xinlei An
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/482351
OpenAlex ID: W1988903294
description: scientific article; zbMATH DE number 6950699