Dynamics and Bifurcation of $x_{n+1}=\frac{\alpha+\beta x_{n-2}}{A+Bx_{n}+C x_{n-2}}$
Journal of Mathematical Sciences and Modelling, 2021 In this paper, we study dynamics and bifurcation of the third order rational difference equation \begin{eqnarray*} x_{n+1}=\frac{\alpha+\beta x_{n-2}}{A+Bx_{n}+Cx_{n-2}}, ~~n=0, 1, 2, \ldots \end{eqnarray*} with positive parameters $\alpha, \beta, A, B ...
Mohammad Saleh, Batool Raddad
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Numerical and Analytical Investigation of Stability of the Reinforced Plate
Communications, 2021 The work is aimed at the construction of an algorithm for studying the equilibrium states of a reinforced plate near critical points, using the first (cubic terms) nonlinear terms of the potential energy expansion.
Gaik A. Manuylov +2 more
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Structural Mechanics of Engineering Constructions and Buildings, 2021 The aims of this work are a detailed consideration in a geometrically nonlinear formulation of the stages of the equilibrium behavior of a compressed stiffened plate, taking into account the interaction of the general form of buckling and local forms of ...
Gaik A. Manuylov +2 more
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Predicting Tipping Points in Chaotic Maps with Period-Doubling Bifurcations
Complexity, 2021 In this paper, bifurcation points of two chaotic maps are studied: symmetric sine map and Gaussian map. Investigating the properties of these maps shows that they have a variety of dynamical solutions by changing the bifurcation parameter.
Changzhi Li +4 more
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Tipping points in open systems: bifurcation, noise-induced and rate-dependent examples in the climate system [PDF]
Philosophical Transactions Series A, Mathematical, Physical, and Engineering Sciences, 2012 Peter Ashwin +2 more
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DYNAMICS AND METHODOLOGICAL ASPECTS OF ECONOMIC TRANSFORMATION
Фінансово-кредитна діяльність: проблеми теорії та практики, 2023 Emphasis is placed on the dynamics and methodological aspects of economic transformation. It is noted that consideration of the dynamic theory in economics continued in science for several centuries, and this issue remains relevant.
Yevhen Moroz +3 more
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Behavior Analysis of a Class of Discrete-Time Dynamical System with Capture Rate
Mathematics, 2022 In this paper, we study the stability and bifurcation analysis of a class of discrete-time dynamical system with capture rate. The local stability of the system at equilibrium points are discussed.
Xiongxiong Du, Xiaoling Han, Ceyu Lei
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On the Solution of Hammerstein Integral Equations with Loads and Bifurcation Parameters
Известия Иркутского государственного университета: Серия "Математика", 2023 The Hammerstein integral equation with loads on the desired solution is considered. The equation contains a parameter for any value of which the equation has a trivial solution. Necessary and sufficient conditions are obtained for the coefficients of the
N.A. Sidorov, L.R.D. Dreglea Sidorov
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Complex Dynamic Analysis for a Rent-Seeking Game with Political Competition and Policymaker Costs
Mathematics, 2023 This paper investigates the dynamics of rent-seeking games that include political competition and policymaker cost model. The local asymptotic stability of multiple equilibrium points and Nash equilibrium points are studied.
Xiuqin Yang, Feng Liu, Hua Wang
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On the Relationship between Equilibrium Bifurcations and Ideal MHD Instabilities for Line-Tied Coronal Loops [PDF]
, 2009 For axisymmetric models for coronal loops the relationship between the bifurcation points of magnetohydrodynamic (MHD) equilibrium sequences and the points of linear ideal MHD instability is investigated imposing line-tied boundary conditions.
Neukirch, Thomas, Romeou, Zaharenia
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