Results 1 to 10 of about 173,676 (290)
Bifurcation of Fredholm maps II; The dimension of the set of bifurcation points [PDF]
, 2011 We obtain an estimate for the covering dimension of the set of bifurcation points for solutions of nonlinear elliptic boundary value problems from the principal symbol of the linearization of the problem along the trivial branch of solutions.Comment: 15 ...
Pejsachowicz, Jacobo
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Developing and Investigation the Numerical Efficiency of Modified Energy Method in Solid Mechanics With Geometric Nonlinearity and Bifurcation Points [PDF]
Journal of Structural and Construction Engineering, 2021 Geometric nonlinear analyses are used in many structural problems, such as the determination of failure load, as well as the study of buckling mechanism.
Ahmad Razaghi +2 more
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Optimization of Hopf Bifurcation Points
SIAM Journal on Scientific Computing, 2023 We introduce a numerical technique for controlling the location and stability properties of Hopf bifurcations in dynamical systems. The algorithm consists of solving an optimization problem constrained by an extended system of nonlinear partial differential equations that characterizes Hopf bifurcation points.
Nicolas Boullé +2 more
openaire +6 more sources
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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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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Bifurcation analysis and chaos control of a discrete-time prey-predator model with fear factor
Mathematical Biosciences and Engineering, 2022 In this paper, we investigate the complex dynamics of a classical discrete-time prey-predator system with the cost of anti-predator behaviors. We first give the existence and stability of fixed points of this system.
Ceyu Lei , Xiaoling Han , Weiming Wang
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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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