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Unfoldings of Singular Hopf Bifurcation [PDF]
SIAM Journal on Applied Dynamical Systems, 2012 Singular Hopf bifurcation occurs in generic families of vector-fields with two slow variables and one fast variable. Normal forms for this bifurcation depend upon several parameters, and the dynamics displayed by the normal forms is intricate. This paper analyzes a normal form for this bifurcation.
John Guckenheimer, Philipp Meerkamp
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Abstract and Applied Analysis, 2013 Hopf bifurcation of a delayed predator-prey system with prey infection and the modified Leslie-Gower scheme is investigated. The conditions for the stability and existence of Hopf bifurcation of the system are obtained.
Zizhen Zhang, Huizhong Yang
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Complexity, 2021 In this paper, a diffusion two-phytoplankton one-zooplankton model with time delay, Beddington–DeAnglis functional response, and Holling II functional response is proposed.
Xin-You Meng, Li Xiao
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Analysing panel flutter in supersonic flow by Hopf bifurcation [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2014 This paper is devoted to study of a partial differential equation governing panel motion in supersonic flow. This PDE can be transformed to an ODE by means of a Galerkin method.
zahra Monfared, Zohre Dadi
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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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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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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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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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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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