Results 11 to 20 of about 1,013 (204)
Stability and Bifurcation Analysis of Fifth-Order Nonlinear Fractional Difference Equation
Fractal and Fractional, 2023 In this paper, a rational difference equation with positive parameters and non-negative conditions is used to determine the presence and direction of the Neimark–Sacker bifurcation.
Abdul Khaliq +6 more
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Flip and Neimark–Sacker Bifurcations in a Coupled Logistic Map System [PDF]
Discrete Dynamics in Nature and Society, 2020 In this paper, we consider a system of strongly coupled logistic maps involving two parameters. We classify and investigate the stability of its fixed points. A local bifurcation analysis of the system using center manifold theory is undertaken and then supported by numerical computations.
A. Mareno, L. Q. English
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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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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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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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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 of a chemotherapy treatment of glioblastoma multiform (GBM) [PDF]
Advances in Difference Equations, 2019 Abstract In this paper, we propose a system of differential equations with piecewise constant arguments to describe the growth of GBM under chemotherapeutic treatment and the interaction among the glial cells, the cancer cells, and the chemotherapeutic agents. In this work, the cancer cells are considered as two populations: the sensitive
Bozkurt Yousef, Fatma, Yousef, Ali
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NEIMARK-SACKER BIFURCATION OF A SEMI-DISCRETE HEMATOPOIESIS MODEL
Journal of Applied Analysis and Computation, 2018 Summary: In this paper, we derive a semi-discrete system for a nonlinear model of blood cell production. The local stability of its fixed points is investigated by employing a key lemma from [\textit{C. Wang} and \textit{X. Li}, J. Appl. Anal. Comput. 4, No. 4, 419--435 (2014; Zbl 1323.92193), J. Math. Anal. Appl. 422, No.
Xianyi Li
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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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