Quantum Neimark-Sacker bifurcation. [PDF]
AbstractRecently, it has been demonstrated that asymptotic states of open quantum system can undergo qualitative changes resembling pitchfork, saddle-node, and period doubling classical bifurcations. Here, making use of the periodically modulated open quantum dimer model, we report and investigate a quantum Neimark-Sacker bifurcation.
Yusipov II, Ivanchenko MV.
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Neimark-Sacker Bifurcation in a Discrete-Time Financial System [PDF]
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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Discretization analysis of bifurcation based nonlinear amplifiers [PDF]
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
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Bifurcation and hybrid control of a discrete eco-epidemiological model with Holling type-III. [PDF]
In 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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PD control at Neimark–Sacker bifurcations in a Mackey–Glass system [PDF]
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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Neimark-Sacker Bifurcation Analysis for a Discrete-Time System of Two Neurons [PDF]
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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Global dynamics, Neimark-Sacker bifurcation and hybrid control in a Leslie’s prey-predator model
In the present study, we explore the topological classifications at fixed points, global dynamics, Neimark-Sacker bifurcation and hybrid control in the two-dimensional discrete-time Leslie’s prey-predator model.
A.Q. Khan +2 more
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NEIMARK-SACKER BIFURCATION OF A SEMI-DISCRETE HEMATOPOIESIS MODEL
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.
Li, Wei, Li, Xianyi
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Neimark–Sacker Bifurcation of a Discrete-Time Predator–Prey Model with Prey Refuge Effect
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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Neimark-Sacker Bifurcation in Demand-Inventory Model with Stock-Level-Dependent Demand [PDF]
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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