Results 21 to 30 of about 88,741 (169)
Stability and cycles in a cobweb model with heterogeneous expectations [PDF]
We investigate the dynamics of a cobweb model with heterogeneous beliefs, generalizing the example of Brock and Hommes (1997). We examine situations where the agents form expectations by using either rational expectations, or a type of adaptive ...
Lasselle, Laurence +11 more
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The impulsive state feedback control is used to create Neimark-Sacker bifurcation for a three-degree-of-freedom vibro-impact system with clearances. The linear control gains are determined to guarantee the existence of Neimark-Sacker bifurcation by using
Ji, J, Xu, H
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Arnol′d tongues arising from a grazing-sliding bifurcation [PDF]
The Neımark–Sacker bifurcation, or Hopf bifurcation for maps, is a well-known bifurcation for smooth dynamical systems. At this bifurcation a periodic orbit loses stability, and, except at certain “strong” resonances, an invariant torus is born.
Osinga, HM +3 more
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Discretization analysis of bifurcation based nonlinear amplifiers [PDF]
Recently, for modeling biological amplification processes, nonlinear amplifiers based on the supercritical Andronov–Hopf bifurcation have been widely analyzed analytically.
S. Feldkord, M. Reit, W. Mathis
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Some Applications of Bifurcation Formulae to the Period Maps of Delay Differential Equations [PDF]
Our purpose is to present some applications of the bifurcation formulae derived in [13] for periodic delay differential equations. We prove that a sequence of Neimark-Sacker bifurcations occurs as the parameter increases.
Röst, Gergely
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We present in this paper an investigation on a discrete predator-prey system with Crowley-Martin type functional response to know its complex dynamics on the routes to chaos which are induced by bifurcations.
Huayong Zhang +5 more
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Numerical bifurcation and hybrid control of a Gompertz model with time delay
In order to study the stability of species, the biological systems are required to reduce or expand the stable region. For a Gompertz model with time delay, a hybrid control Euler method is proposed in which state feedback and parameter perturbation are ...
Jizhi SONG, Yuanyuan WANG
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Analyzing Predator-Prey Interaction in Chaotic and Bifurcating Environments
An analysis of discrete-time predator-prey systems is presented in this paper by determining the minimum amount of prey consumed before predators reproduce, as well as by analyzing the system's stability and bifurcation. In order to investigate the local
Abdul Khaliq, Ansar Abbas
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Bifurcation Analysis for a Two-Dimensional Discrete-Time Hopfield Neural Network with Delays
A bifurcation analysis is undertaken for a discrete-time Hopfield neural network with four delays. Conditions ensuring the asymptotic stability of the null solution are obtained with respect to two parameters of the system.
Yaping Ren, Yongkun Li
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Controlling chaos and Neimark-Sacker bifurcation in a discrete-time predator-prey system
This article is about a discrete-time predator-prey model obtained by the forward Euler method. The stability of the fixed point of the model and the existence conditions of the Neimark-Sacker bifurcation are investigated.
Figen KANGALGİL +4 more
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