Results 31 to 40 of about 83,401 (261)
Flip and Neimark-Sacker Bifurcations of a Discrete Time Predator-Pre Model
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
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Center Manifold Theorem and Stability for Integral Equations with Infinite Delay
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
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Hopf Bifurcation Analysis on General Gause-Type Predator-Prey Models with Delay
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
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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
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On finite groups acting on acyclic low-dimensional manifolds [PDF]
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
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Stability and Hopf Bifurcation Analysis of Coupled Optoelectronic Feedback Loops
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
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Stability and nonlinear dynamics in a Solow model with pollution
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
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Michaelis-Menten-Type Prey Harvesting in Discrete Modified Leslie-Gower Predator-Prey Model
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
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Stability and Hopf Bifurcation of an n-Neuron Cohen-Grossberg Neural Network with Time Delays
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
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The Stability Analysis of the Shimizu–Morioka [PDF]
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
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