Results 91 to 100 of about 228,096 (272)

Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system [PDF]

open access: yesNonlinear Dynamics, 2015
Agraïments: The first author is partially supported by FAPESP Grant 2013/2454-1, CAPES Grant 88881.068462/2014-01 and EU Marie-Curie IRSES Brazilian-European partnership in Dyn. Systems (FP7-PEOPLE-2012-IRSES 318999 BREUDS). Agraïments: The second author is partially supported CAPES Grant Number 88881.
Claudio Buzzi   +2 more
openaire   +6 more sources

Stability and Hopf Bifurcations Analysis in a Three‐Phase Dengue Diffusion Model With Time Delay in Fractional Derivative and Laplace–Adomian Decomposition Numerical Approach

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 11630-11651, August 2025.
ABSTRACT This study examines the complex dynamics of dengue transmission by incorporating time delay into a comprehensive model. The model is designed to capture several essential components, including steady‐state events, immune waning, recuperation from infection, and partial shielding in human populations.
G. M. Vijayalakshmi   +4 more
wiley   +1 more source

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)

open access: yesZhejiang 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)
doaj   +1 more source

Stability of singular Hopf bifurcations

open access: yesJournal of Differential Equations, 2004
Consider the singularly perturbed system \[ \frac{dx}{dt}=\varepsilon f(x,y,\lambda),\quad\frac{dy}{dt}= g(x,y,\lambda)\tag{*} \] with \(x\in\mathbb{R}^n\), \(y\in\mathbb{R}^m\), \(\varepsilon,\lambda\in\mathbb{R}\), \(\varepsilon\) small. It is assumed that there exists a curve \(\lambda=\lambda(\varepsilon)\) in the parameter plane associated with ...
Yang Lijun, Zeng Xianwu
openaire   +3 more sources

Nonlocal Cooperative Behavior, Psychological Effects, and Collective Decision‐Making: An Exemplification With Predator–Prey Models

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12011-12037, August 2025.
ABSTRACT In bio‐social models, cooperative behavior has evolved as an adaptive strategy, playing multi‐functional roles. One of such roles in populations is to increase the success of the survival and reproduction of individuals and their families or social groups.
Sangeeta Saha   +2 more
wiley   +1 more source

Andronov-Hopf bifurcation with and without parameter in a cubic memristor oscillator with a line of equilibria. [PDF]

open access: yesChaos, 2017
The model of a memristor-based oscillator with cubic nonlinearity is studied. The considered system has infinitely many equilibrium points, which build a line of equilibria in the phase space.
I. Korneev, V. Semenov
semanticscholar   +1 more source

Hopf bifurcations in Langmuir circulations

open access: yesPhysica D: Nonlinear Phenomena, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cox, S   +3 more
openaire   +4 more sources

Individuals Strategies and Predator–Prey Game Models in Deterministic and Random Settings

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12587-12607, August 2025.
ABSTRACT The authors propose a new predator–prey game model by integrating two optional strategies into prey species: cooperative and isolation strategies. An investigation of the evolutionary impact on predator–prey system dynamics is given. The model utilizes a replicator equation to track changes in the frequency of cooperative strategy among preys,
Hairui Yuan   +3 more
wiley   +1 more source

Transition from rotating waves to modulated rotating waves on the sphere

open access: yes, 2005
We study non-resonant and resonant Hopf bifurcation of a rotating wave in SO(3)-equivariant reaction-diffusion systems on a sphere. We obtained reduced differential equations on so(3), the characterization of modulated rotating waves obtained by Hopf ...
Adela N. Comanici   +3 more
core   +1 more source

A delayed computer virus model with nonlinear incidence rate

open access: yesSystems Science & Control Engineering, 2019
An Susceptible-Vaccinated-Exposed-Infectious-Recovered computer virus model with nonlinear incidence rate and two delays is proposed and its Hopf bifurcation is investigated.
Yugui Chu, Wanjun Xia, Zecheng Wang
doaj   +1 more source

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