Results 11 to 20 of about 88,741 (169)
Neimark-Sacker Bifurcation in a Discrete-Time Financial System [PDF]
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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Neimark-Sacker Bifurcation Analysis for a Discrete-Time System of Two Neurons [PDF]
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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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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Discrete Dynamics in Nature and Society, 2012 A new bifurcation critical criterion of flip-Neimark-Sacker bifurcation is proposed for detecting or anticontrolling this type of codimension-two bifurcation of discrete systems in a general sense. The criterion is built on the properties of coefficients
Shengji Yao
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Neimark–Sacker Bifurcation of a Discrete-Time Predator–Prey Model with Prey Refuge Effect
Mathematics, 2023 In this paper, we deduce a predator–prey model with discrete time in the interior of R+2 using a new discrete method to study its local dynamics and Neimark–Sacker bifurcation.
Binhao Hong, Chunrui Zhang
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Mathematical and Computer Modelling of Dynamical SystemsIn this paper, a discrete predator-prey model incorporating herd behaviour and square root response function is deduced from its continuous version by the semi-discretization method.
Danyang Li, Xianyi Li
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Neimark-Sacker Bifurcation in Demand-Inventory Model with Stock-Level-Dependent Demand [PDF]
Discrete Dynamics in Nature and Society, 2017 An analysis of dynamics of demand-inventory model with stock-level-dependent demand formulated as a three-dimensional system of difference equations with four parameters is considered.
Piotr Hachuła +2 more
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Neimark-Sacker Bifurcation and Chaos Control in a Fractional-Order Plant-Herbivore Model
Discrete Dynamics in Nature and Society, 2017 This work is related to dynamics of a discrete-time 3-dimensional plant-herbivore model. We investigate existence and uniqueness of positive equilibrium and parametric conditions for local asymptotic stability of positive equilibrium point of this model.
Qamar Din, A. A. Elsadany, Hammad Khalil
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Discrete Dynamics in Nature and Society, 2018 A spatiotemporal discrete predator-prey system with Allee effect is investigated to learn its Neimark-Sacker-Turing instability and pattern formation.
Huayong Zhang +4 more
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From A.Tondl’s Dutch contacts to Neimark-Sacker-bifurcation
, 2022 We present a description of the many contacts of A. Tondl with Dutch scientists involving nonlinear dynamics models for mechanics. One of the topics is Neimark-Sacker bifurcation that leads to the presence of families of quasi-periodic solutions that ...
Verhulst, Ferdinand, Bakri, Taoufik
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