Results 21 to 30 of about 88,741 (169)

Stability and cycles in a cobweb model with heterogeneous expectations [PDF]

open access: yes, 2004
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
core   +1 more source

Creation of Neimark-Sacker Bifurcation for a Three-Degree-of-Freedom Vibro-Impact System with Clearances

open access: yes, 2023
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
core   +1 more source

Arnol′d tongues arising from a grazing-sliding bifurcation [PDF]

open access: yes, 2009
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
core   +1 more source

Discretization analysis of bifurcation based nonlinear amplifiers [PDF]

open access: yesAdvances in Radio Science, 2017
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
doaj   +1 more source

Some Applications of Bifurcation Formulae to the Period Maps of Delay Differential Equations [PDF]

open access: yes, 2005
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
core   +1 more source

Complex Dynamics on the Routes to Chaos in a Discrete Predator-Prey System with Crowley-Martin Type Functional Response

open access: yesDiscrete Dynamics in Nature and Society, 2018
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
doaj   +1 more source

Numerical bifurcation and hybrid control of a Gompertz model with time delay

open access: yesJournal of Hebei University of Science and Technology, 2019
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
doaj   +1 more source

Analyzing Predator-Prey Interaction in Chaotic and Bifurcating Environments

open access: yesChaos Theory and Applications, 2023
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
doaj   +1 more source

Bifurcation Analysis for a Two-Dimensional Discrete-Time Hopfield Neural Network with Delays

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
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
doaj   +1 more source

Controlling chaos and Neimark-Sacker bifurcation in a discrete-time predator-prey system

open access: yes, 2020
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
core   +1 more source

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