Results 51 to 60 of about 203,161 (272)
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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Turing-Hopf bifurcation analysis in a diffusive Gierer-Meinhardt model
AIMS Mathematics, 2021 The reaction-diffusion Gierer-Meinhardt system in one dimensional bounded domain is considered in the present paper. The Hopf bifurcation is investigated, which is found to be degenerate.
Anna Sun, Ranchao Wu, Mengxin Chen
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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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Supercritical Pitchfork Bifurcation of a Fractional‐Order Doubly‐Fed Induction Generator
Energy Science &Engineering, EarlyView.ABSTRACT To address the problem of the chaos phenomenon caused by the parameter drift of a doubly‐fed induction generator (DFIG) due to a changing operating environment, a fractional‐order stator voltage/flux‐oriented control model is developed, and bifurcation theory and numerical simulations reveal that the chaos mechanism originates from ...
Wei Chen +4 more
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Discrete Dynamics in Nature and Society, 2006 We consider a simplified bidirectional associated memory (BAM) neural network model with four neurons and multiple time delays. The global existence of periodic solutions bifurcating from Hopf bifurcations is investigated by applying the global Hopf ...
Xiang-Ping Yan, Wan-Tong Li
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Hopf bifurcation for functional equations
Journal of Mathematical Analysis and Applications, 1980 Abstract : The purpose of this paper is to study the existence of a smooth Hopf bifurcation for functional equations. The bifurcation parameters may include the delays. Results will be described for a special case of equations considered. (Author)
JoséCarlos F de Oliveira +2 more
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Diffusive Resource–Consumer Dynamics With the Simplest Learning Mechanism and Nonlocal Memory Usage
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT To describe cognitive consumers' movement, we study a diffusive resource–consumer model with nonlocal memory usage described by a system of parabolic equations, which is coupled with spatial memory dynamics described by a linear learning equation.
Qigang Deng, Ranchao Wu, Hao Wang
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一类时滞计算机网络病毒模型的动力学行为(Dynamics of an epidemic model of computer virus with delays)
Zhejiang Daxue xuebao. Lixue ban, 2015 An SLBRS computer virus model with two delays is considered. Local stability and local Hopf bifurcation of this model are investigated. Sufficient conditions for local stability and the existence of local Hopf bifurcation are obtained by regarding ...
ZHANGZizhen(张子振)
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Hopf bifurcation analysis of Sel’kov model with time delay
Xi'an Gongcheng Daxue xuebao, 2023 The Sel’kov model with time-delay diffusion under homogeneous Neumann boundary conditions is considered. Firstly, the local asymptotically stability of the positive equilibrium point of the model is obtained by using spectral theory.
MA Yani, YUAN Hailong, WANG Yadi
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Delay-induced Hopf bifurcation of an SVEIR computer virus model with nonlinear incidence rate
Advances in Differential Equations, 2018 We are concerned with the Hopf bifurcation of an SVEIR computer virus model with time delay and nonlinear incident rate. First of all, by analyzing the associated characteristic equation we obtain sufficient conditions for its local stability and the ...
T. Zhao, Zizhen Zhang, R. K. Upadhyay
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