Results 11 to 20 of about 90,692 (222)
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
doaj +6 more sources
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.
Huayong Zhang +2 more
exaly +4 more sources
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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From A.Tondl's Dutch contacts to Neimark-Sacker-bifurcation
Applied and Computational Mechanics, 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 are geometrically organised and visualised in tori. A new model in the spirit of A.
Bakri, Taoufik, Verhulst, Ferdinand
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NEIMARK-SACKER BIFURCATION AND STABILITY ANALYSIS IN A DISCRETE PHYTOPLANKTON-ZOOPLANKTON SYSTEM WITH HOLLING TYPE II FUNCTIONAL RESPONSE [PDF]
Journal of Applied Analysis & Computation, 2022 In this paper, we study discrete-time model of phytoplankton-zooplankton with Holling type II predator functional response. It is shown that Neimark-Sacker bifurcation occurs at the one of positive fixed points for certain parameter chosen as a ...
S. Shoyimardonov
semanticscholar +4 more sources
Controlling Chaos and Neimark-Sacker Bifurcation in a Discrete-Time Predator-Prey System
Hacettepe Journal of Mathematics and Statistics, 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 conditions of the existence condition of Neimark-Sacker bifurcation are investigated.
Figen Kangalgil, S. Işık
semanticscholar +2 more sources
Bifurcation and hybrid control of a discrete eco-epidemiological model with Holling type-III. [PDF]
PLoS ONEIn this paper, a three dimensional discrete eco-epidemiological model with Holling type-III functional response is proposed. Boundedness of the solutions of the system is analyzed.
Lizhi Fei, Hengmin Lv, Heping Wang
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Analytical investigation of single and double Neimark-Sacker bifurcations [PDF]
Periodica Polytechnica Mechanical Engineering, 2012 The analytical investigation of bifurcations is a very challenging task for many applied scientists and engineers. Often, numerical simulations cannot clarify the complicated dynamics of mechanical systems, in this cases, preprogrammed softwares can be of valid help during the investigation.
HABIB, Giuseppe +2 more
core +7 more sources
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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PD control at Neimark–Sacker bifurcations in a Mackey–Glass system [PDF]
Advances in Difference Equations, 2018 This article focuses on a proportional-derivative (PD) feedback controller to control a Neimark–Sacker bifurcation for a Mackey–Glass system by the Euler method.
Yuanyuan Wang
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