Results 31 to 40 of about 83,401 (261)

Flip and Neimark-Sacker Bifurcations of a Discrete Time Predator-Pre Model

open access: yesIEEE Access, 2019
In this paper, we investigate the system undergoes flip and Neimark Sacker bifurcation in the interior of R+2 by using the center manifold theorem and bifurcation theory. The dynamics of this discrete time predator-pre model is investigated in the closed
Yong Li   +4 more
doaj   +1 more source

Center Manifold Theorem and Stability for Integral Equations with Infinite Delay

open access: yesFunkcialaj Ekvacioj, 2015
The present paper deals with autonomous integral equations with infinite delay via dynamical system approach. Existence, local exponential attractivity, and other properties of center manifold are established by means of the variation-of-constants formula in the phase space that is obtained in a previous paper \cite{mur}.
Matsunaga, Hideaki   +3 more
openaire   +3 more sources

Hopf Bifurcation Analysis on General Gause-Type Predator-Prey Models with Delay

open access: yesAbstract and Applied Analysis, 2012
A class of three-dimensional Gause-type predator-prey model with delay is considered. Firstly, a group of sufficient conditions for the existence of Hopf bifurcation is obtained via employing the polynomial theorem by analyzing the distribution of the ...
Shuang Guo, Weihua Jiang
doaj   +1 more source

Period-doubling Bifurcation and Stability in a Two Dimensional Discrete Prey-predator Model with Allee Effect and Immigration Parameter on Prey

open access: yesCumhuriyet Science Journal, 2022
This article is about the dynamics of a discrete-time prey-predator system with Allee effect and immigration parameter on prey population. Particularly, we study existence and local asymptotic stability of the unique positive fixed point.
Feda İlhan, Figen Kangalgil
doaj   +1 more source

On finite groups acting on acyclic low-dimensional manifolds [PDF]

open access: yes, 2010
We consider finite groups which admit a faithful, smooth action on an acyclic manifold of dimension three, four or five (e.g. euclidean space). Our first main result states that a finite group acting on an acyclic 3- or 4-manifold is isomorphic to a ...
Guazzi, Alessandra   +2 more
core   +1 more source

Stability and Hopf Bifurcation Analysis of Coupled Optoelectronic Feedback Loops

open access: yesAbstract and Applied Analysis, 2013
The dynamics of a coupled optoelectronic feedback loops are investigated. Depending on the coupling parameters and the feedback strength, the system exhibits synchronized asymptotically stable equilibrium and Hopf bifurcation.
Gang Zhu, Junjie Wei
doaj   +1 more source

Stability and nonlinear dynamics in a Solow model with pollution

open access: yesNonlinear Analysis, 2014
In this paper, we introduce a time-to-build technology in a Solow model with pollution. We show that Hopf bifurcations occur as the delay passes through critical values.
Massimiliano Ferrara   +2 more
doaj   +1 more source

Michaelis-Menten-Type Prey Harvesting in Discrete Modified Leslie-Gower Predator-Prey Model

open access: yesJournal of Function Spaces, 2022
A discrete-time Michaelis-Menten-type prey harvesting is discussed in this paper, in the modified Leslie-Gower predator-prey model. Detailed analysis of the topology of nonnegative interior fixed points is given, including their existence and stability ...
M. Saqib Khan   +3 more
doaj   +1 more source

Stability and Hopf Bifurcation of an n-Neuron Cohen-Grossberg Neural Network with Time Delays

open access: yesJournal of Applied Mathematics, 2014
A Cohen-Grossberg neural network with discrete delays is investigated in this paper. Sufficient conditions for the existence of local Hopf bifurcation are obtained by analyzing the distribution of roots of characteristic equation. Moreover, the direction
Qiming Liu, Sumin Yang
doaj   +1 more source

The Stability Analysis of the Shimizu–Morioka [PDF]

open access: yesKirkuk Journal of Science, 2011
In this work, we study new system with a rich structure (the Shimizu-Morioka system), which is exhibiting the Lorenz-like dynamics. Where the dot denotes the system obtained a Hopf bifurcation (Supercritical and subcritical) for ...
Rizgar H. Salih
doaj   +1 more source

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