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Controlling hopf bifurcations: Discrete-time systems
Discrete Dynamics in Nature and Society, 2000 Bifurcation control has attracted increasing attention in recent years. A simple and unified state-feedback methodology is developed in this paper for Hopf bifurcation control for discrete-time systems. The control task can be either shifting an existing
Guanrong Chen +3 more
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Hybrid control of Hopf bifurcation in a Lotka-Volterra predator-prey model with two delays
Advances in Difference Equations, 2017 In this paper, the Hopf bifurcation control for a Lotka-Volterra predator-prey model with two delays is studied by using a hybrid control strategy.
Miao Peng, Zhengdi Zhang, Xuedi Wang
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Bifurcation Analysis and Sliding Mode Control of Chaotic Vibrations in an Autonomous System
Journal of Applied Mathematics, 2014 We study the bifurcations and sliding mode control of chaotic vibrations in an autonomous system. More precisely, a Hopf bifurcation controller is designed so as to control the unstable subcritical Hopf bifurcation to the stable supercritical Hopf ...
Wenju Du +5 more
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Influence of Time Delay on Bifurcation in Fractional Order BAM Neural Networks With Four Delays
IEEE Access, 2019 Over the past several decades, numerous scholars have studied the stability and Hopf bifurcation problem of integer-order delayed neural networks. However, the fruits about the stability and Hopf bifurcation for fractional-order delayed neural networks ...
Changjin Xu +3 more
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Hopf Bifurcation Analysis of the Halvorsen System
Zanco Journal of Pure and Applied SciencesThis paper investigates local bifurcations in the Halvorsen system, focusing specifically on transcritical and Hopf bifurcations. The behavior of equilibrium points during bifurcations is studied using Sotomayor's theorem for transcritical bifurcation ...
Kardo Baiz Othman, Adnan Ali Jalal
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Turing–Hopf bifurcation of a ratio-dependent predator-prey model with diffusion
Advances in Difference Equations, 2019 In this paper, the Turing–Hopf bifurcation of a ratio-dependent predator-prey model with diffusion and Neumann boundary condition is considered. Firstly, we present a kind of double parameters selection method, which can be used to analyze the Turing ...
Qiushuang Shi, Ming Liu, Xiaofeng Xu
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Stability and Hopf Bifurcation Analysis of a Vector-Borne Disease with Time Delay
Journal of Applied Mathematics, 2014 A delay-differential modelling of vector-borne is investigated. Its dynamics are studied in terms of local analysis and Hopf bifurcation theory, and its linear stability and Hopf bifurcation are demonstrated by studying the characteristic equation.
Yuanyuan Chen, Ya-Qing Bi
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Mathematics, 2022 We studied a delayed predator–prey model with diffusion and anti-predator behavior. Assume that additional food is provided for predator population. Then the stability of the positive equilibrium is considered.
Ruizhi Yang, Xiao Zhao, Yong An
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Global stability and bifurcation analysis of a delayed predator-prey system with prey immigration
Electronic Journal of Qualitative Theory of Differential Equations, 2016 A delayed predator-prey system with a constant rate immigration is considered. Local and global stability of the equilibria are studied, a fixed point bifurcation appears near the boundary equilibrium and Hopf bifurcation occurs near the positive ...
Gang Zhu, Junjie Wei
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Stability Analysis of a Fractional-Order SEIR-KS Computer Virus-Spreading Model with Two Delays
Journal of Mathematics, 2021 In this paper, the stability and Hopf bifurcation of a fractional-order model of the Susceptible-Exposed-Infected-Kill Signals Recovered (SEIR-KS) computer virus with two delays are studied.
Zhufeng Wang, Xiaoqian Nie, Maoxin Liao
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