Results 11 to 20 of about 382 (138)
Entropy, 2017 Wind-induced vegetation patterns were proposed a long time ago but only recently a dynamic vegetation-sand relationship has been established. In this research, we transformed the continuous vegetation-sand model into a discrete model.
Feifan Zhang +4 more
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Discrete 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
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Numerical bifurcation and hybrid control of a Gompertz model with time delay
Journal 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
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Neimark-Sacker Bifurcation in a Discrete-Time Financial System
Discrete Dynamics in Nature and Society, 2010 A discrete-time financial system is proposed by using forward Euler scheme. Based on explicit Neimark-Sacker bifurcation (also called Hopf bifurcation for map) criterion, normal form method and center manifold theory, the system's existence, stability ...
Baogui Xin, Tong Chen, Junhai Ma
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Analyzing Predator-Prey Interaction in Chaotic and Bifurcating Environments
Chaos 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
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Bifurcation Analysis for a Two-Dimensional Discrete-Time Hopfield Neural Network with Delays
International 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
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Advances in Difference Equations, 2019 In this paper, the dynamical behaviors of a discrete-time prey–predator model with Allee effect on the prey population are investigated. The existence and topological classification of the fixed points of the model are analyzed.
Figen Kangalgil
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Implementation of a digital evaluation platform to analyze bifurcation based nonlinear amplifiers [PDF]
Advances in Radio Science, 2016 Recently, nonlinear amplifiers based on the supercritical Andronov–Hopf bifurcation have become a focus of attention, especially in the modeling of the mammalian hearing organ.
S. Feldkord, M. Reit, W. Mathis
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Dynamic Behavior and Bifurcation Analysis of a Difference Equation Including Exponential Terms
Pan-American Journal of MathematicsIn this paper, the local stability, the boundedness, rate of convergence and the conditions of Neimark-Sacker bifurcation concerning difference equation xn+1=α1xn+α2xn-1+β1xnexp(-x2n-1)+β2xn-1exp(-x2n-1), n=0,1, ..., are investigated.
A.A. Elsadany +2 more
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Neimark-Sacker Bifurcation Analysis for a Discrete-Time System of Two Neurons
Abstract and Applied Analysis, 2012 A class of discrete-time system modelling a network with two neurons is considered. First, we investigate the global stability of the given system. Next, we study the local stability by techniques developed by Kuznetsov to discrete-time systems.
Changjin Xu
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