Results 21 to 30 of about 65,659 (224)
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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Bifurcation Analysis in a Two-Dimensional Neutral Differential Equation
Abstract and Applied Analysis, 2013 The dynamics of a 2-dimensional neural network model in neutral form are investigated. We prove that a sequence of Hopf bifurcations occurs at the origin as the delay increases.
Ming Liu, Xiaofeng Xu
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AxiomsIn this paper, we investigate the existence of Hopf bifurcations in a mathematical model that includes economic growth, corruption, and unemployment. The model links these social and economic factors to provide insights into the dynamics of the economy ...
Ogochukwu Ifeacho +1 more
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Journal of Applied Mathematics, 2014 We revisit a homogeneous reaction-diffusion Turing model subject to the Neumann boundary conditions in the one-dimensional spatial domain. With the help of the Hopf bifurcation theory applicable to the reaction-diffusion equations, we are capable of ...
Yan Zhang, Zhenhua Bao
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Hopf bifurcations in dynamical systems
, 2019 The onset of instability in autonomous dynamical systems (ADS) of ordinary differential equations is investigated. Binary, ternary and quaternary ADS are taken into account. The stability frontier of the spectrum is analyzed.
Rionero S.
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Stability and Hopf Bifurcation Analysis on a Bazykin Model with Delay
Abstract and Applied Analysis, 2014 The dynamics of a prey-predator system with a finite delay is investigated. We show that a sequence of Hopf bifurcations occurs at the positive equilibrium as the delay increases.
Jianming Zhang +2 more
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Dynamics of adding variable prey refuge and an Allee effect to a predator–prey model
Alexandria Engineering Journal, 2022 Prey refuge from predators can play an important role in stabilising an ecological system by reducing interactions between species, while Allee effects can arise from a range of biological phenomena, such as anti-predator vigilance, genetic trends and ...
Hafizul Molla +3 more
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Global Hopf bifurcation in the ZIP regulatory system [PDF]
, 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
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Journal of Differential Equations, 1995 The authors present a numerical bifurcation study of the dynamical behavior of a structural dynamics model of a periodically forced suspended cable. The simplified equations of motion are: \(\ddot x+ \mu \dot x+ c_1 x+ c_2 x^2+ c_3 x^3= P\cos(\Omega t)\); \(c_1\), \(c_2\), \(c_3\) are fixed parameters.
Deng, B., Sakamoto, K.
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Hopf Bifurcation in the presence of symmetry [PDF]
Archive for Rational Mechanics and Analysis, 1984 This note announces a Hopf-bifurcation theorem for ordinary differential equations invariant under the action of a compact symmetry group. Various applications are sketched and references to previous more special results of other authors are given. Detailed proofs and further results are to appear in a paper with the same title (in Arch. Ration.
Golubitsky, Martin, Stewart, Ian
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