Results 101 to 110 of about 26,882 (236)

On the Hopf bifurcation for flows

Comptes Rendus. Mathématique, 2005
Abstract Under fairly general hypotheses, we prove the existence of the families of periodic orbits obtained by Hopf bifurcation, with emphasis on their smoothness. A Banach version of a theorem of Lyapounov is obtained as a corollary. The proofs are complete, simple and original. To cite this article: M. Chaperon, S. Lopez de Medrano, C. R.
Santiago López de Medrano, Marc Chaperon   +1 more
openaire   +2 more sources

Hopf Bifurcation Analysis for a Computer Virus Model with Two Delays

Abstract and Applied Analysis, 2013
This paper is concerned with a computer virus model with two delays. Its dynamics are studied in terms of local stability and Hopf bifurcation. Sufficient conditions for local stability of the positive equilibrium and existence of the local Hopf ...
Zizhen Zhang, Huizhong Yang
doaj   +1 more source

Hopf bifurcation without parameters in deterministic and stochastic modeling of cancer virotherapy, part II. [PDF]

J Math Anal Appl, 2022
Phan TA, Tian JP.
europepmc   +1 more source

Stability analysis and Hopf bifurcation in fractional order SEIRV epidemic model with a time delay in infected individuals. [PDF]

Partial Differ Equ Appl Math, 2022
Mahata A, Paul S, Mukherjee S, Roy B.
europepmc   +1 more source

On a Bifurcation Theorem of Hopf and Friedrichs^* [PDF]

, 1977
H. I. Freedman
openalex   +1 more source

Bistability and Hopf bifurcation of a tritrophic system with Holling functional responses. [PDF]

Heliyon, 2021
Blé G, Castellanos V, Castillo-Santos FE.   +2 more
europepmc   +1 more source

Controlling Delay-induced Hopf bifurcation in Internet congestion control system [PDF]

arXiv, 2007
This paper focuses on Hopf bifurcation control in a dual model of Internet congestion control algorithms which is modeled as a delay differential equation (DDE). By choosing communication delay as a bifurcation parameter, it has been demonstrated that the system loses stability and a Hopf bifurcation occurs when communication delay passes through a ...
arxiv  

Stability and Hopf bifurcation in a symmetric Lotka-Volterra predator-prey system with delays

Electronic Journal of Differential Equations, 2013
This article concerns a symmetrical Lotka-Volterra predator-prey system with delays. By analyzing the associated characteristic equation of the original system at the positive equilibrium and choosing the delay as the bifurcation parameter, the local ...
Jing Xia, Zhixian Yu, Rong Yuan
doaj  

Periodic orbits for an autonomous version of the Duffing–Holmes oscillator

Nonlinear Analysis
In the autonomous Duffing–Holmes oscillator, the existence of periodic orbits was detected numerically. Using the Hopf bifurcation theory, we prove analytically that such periodic orbits exist.
Guangfeng Dong, Jaume Llibre
doaj   +1 more source

A Hopf bifurcation in the Kuramoto-Daido model [PDF]

arXiv, 2016
A Hopf bifurcation in the Kuramoto-Daido model is investigated based on the generalized spectral theory and the center manifold reduction for a certain class of frequency distributions. The dynamical system of the order parameter on a four-dimensional center manifold is derived.
arxiv