Results 11 to 20 of about 12,431 (232)

Comparative exploration on bifurcation behavior for integer-order and fractional-order delayed BAM neural networks

open access: yesNonlinear Analysis, 2022
In the present study, we deal with the stability and the onset of Hopf bifurcation of two type delayed BAM neural networks (integer-order case and fractional-order case).
Changjin Xu   +7 more
doaj   +1 more source

Hopf bifurcation in delayed nutrient-microorganism model with network structure

open access: yesJournal of Biological Dynamics, 2022
In this paper, we introduce and deal with the delayed nutrient-microorganism model with a random network structure. By employing time delay τ as the main critical value of the Hopf bifurcation, we investigate the direction of the Hopf bifurcation of such
Mengxin Chen   +3 more
doaj   +1 more source

Global Hopf bifurcation in the ZIP regulatory system [PDF]

open access: yes, 2015
Regulation of zinc uptake in roots of Arabidopsis thaliana has recently been modeled by a system of ordinary differential equations based on the uptake of zinc, expression of a transporter protein and the interaction between an activator and inhibitor ...
Ptashnyk, Mariya   +4 more
core   +1 more source

Hopf bifurcation in a gene regulatory network model : molecular movement causes oscillations [PDF]

open access: yes, 2014
M.A.J.C. and M.S. gratefully acknowledge the support of the ERC Advanced Investigator Grant 227619, “M5CGS — From Mutations to Metastases: Multiscale Mathematical Modelling of Cancer Growth and Spread”. M.S.
Ptashnyk, Mariya   +10 more
core   +1 more source

Unfoldings of Singular Hopf Bifurcation [PDF]

open access: yesSIAM 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
openaire   +2 more sources

Hopf Bifurcation Control in a Delayed Predator-Prey System with Prey Infection and Modified Leslie-Gower Scheme

open access: yesAbstract 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
doaj   +1 more source

Stability and Bifurcation for a Delayed Diffusive Two-Zooplankton One-Phytoplankton Model with Two Different Functions

open access: yesComplexity, 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
doaj   +1 more source

Analysing panel flutter in supersonic flow by Hopf bifurcation [PDF]

open access: yesIranian 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
doaj   +1 more source

Controlling hopf bifurcations: Discrete-time systems

open access: yesDiscrete 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
doaj   +1 more source

Hybrid control of Hopf bifurcation in a Lotka-Volterra predator-prey model with two delays

open access: yesAdvances 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
doaj   +1 more source

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