Results 111 to 120 of about 26,882 (236)

The Slow Passage through a Hopf Bifurcation: Delay, Memory Effects, and Resonance [PDF]

, 1989
Steven M. Baer, Thomas Erneux, John Rinzel   +2 more
openalex   +1 more source

Hopf bifurcations for a delayed discrete single population patch model in advective environments

European Journal of Applied Mathematics
In this paper, we consider a delayed discrete single population patch model in advective environments. The individuals are subject to both random and directed movements, and there is a net loss of individuals at the downstream end due to the flow into a ...
Weiwei Liu, Zuolin Shen, Shanshan Chen
doaj   +1 more source

Hopf bifurcation, stability switches and chaos in a prey-predator system with three stage structure and two time delays

Mathematical Biosciences and Engineering, 2019
A three stage-structured prey-predator model with digestion delay and density dependent delay for the predator is investigated. The stability of the equilibrium point and the Hopf bifurcation of the system by choosing time delay as a bifurcation ...
Shunyi Li
doaj   +1 more source

Hopf-Takens bifurcations and centres

Journal of Differential Equations, 2004
AbstractThe paper deals with Hopf-Takens bifurcations, both in generic families and in families containing centres. Attention goes to the relation between normal forms, Lyapunov coefficients and the Bautin ideal. In case the Bautin ideal has only one generator we pay attention to the first non-zero Melnikov function.
Freddy Dumortier, Magdalena Caubergh
openaire   +2 more sources

Dynamical Analysis of a Computer Virus Propagation Model with Delay and Infectivity in Latent Period

Discrete Dynamics in Nature and Society, 2016
A delayed SLB computer virus propagation model with infectivity in latent period is proposed in this paper. We establish sufficient conditions for local stability of the positive equilibrium and existence of Hopf bifurcation by analyzing distribution of ...
Zizhen Zhang, Dianjie Bi
doaj   +1 more source

Hamiltonian Hopf bifurcations in Gaudin models [PDF]

arXiv
We show that su(2) rational and trigonometric Gaudin models, or in other words, generalised coupled angular momenta systems, have singularities that undergo Hamiltonian Hopf bifurcations. In particular, we find a normal form for the Hamiltonian Hopf bifurcation up to sixth order, letting us determine when the bifurcation is degenerate or not ...
arxiv  

Unfoldings of singular Hopf bifurcation [PDF]

arXiv, 2011
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.
arxiv  

Degenerate hopf bifurcation from multiple eigenvalues and stability [PDF]

, 1986
Steven D. Taliaferro
openalex   +1 more source

Hopf Bifurcation and Global Periodic Solutions in a Predator-Prey System with Michaelis-Menten Type Functional Response and Two Delays

Abstract and Applied Analysis, 2014
We consider a predator-prey system with Michaelis-Menten type functional response and two delays. We focus on the case with two unequal and non-zero delays present in the model, study the local stability of the equilibria and the existence of Hopf ...
Yunxian Dai, Yiping Lin, Huitao Zhao
doaj   +1 more source

Stability and Hopf Bifurcation in the Watt Governor System [PDF]

arXiv, 2006
In this paper we study the Lyapunov stability and Hopf bifurcation in a system coupling a Watt-centrifugal-governor with a steam-engine. Sufficient conditions for the stability of the equilibrium state in terms of the physical parameters and of the bifurcating periodic orbit at most critical parameters on the bifurcation surface are given.
arxiv