Results 1 to 10 of about 52,502 (264)
Cluster Oscillation of a Fractional-Order Duffing System with Slow Variable Parameter Excitation
Fractal and Fractional, 2022 The complicated dynamic behavior of a fractional-order Duffing system with slow variable parameter excitation is investigated. The stability and bifurcation behavior of the fast subsystem are analyzed by using the dynamic theory of fractional-order ...
Xianghong Li, Yanli Wang, Yongjun Shen
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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
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Frontiers in Materials, 2022 The arch is a common structural form in bridge engineering; its collapse is often caused by instability. In this article, in-plane nonlinear instability of pin-ended functionally graded material (FGM) arches with two cross-sectional types under local ...
Jinman Zhou +5 more
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Mathematics, 2020 Bifurcations have been studied with an extensive analysis of boundary curves of red, fixed components in the parametric space for a uniparametric family of simple-root finders under the Möbius conjugacy map applied to a quadratic polynomial.
Min-Young Lee, Young Ik Kim
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Hopf bifurcation analysis of Sel’kov model with time delay
Xi'an Gongcheng Daxue xuebao, 2023 The Sel’kov model with time-delay diffusion under homogeneous Neumann boundary conditions is considered. Firstly, the local asymptotically stability of the positive equilibrium point of the model is obtained by using spectral theory.
MA Yani, YUAN Hailong, WANG Yadi
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Stability and Hopf bifurcation on an SEIR delayed model with logistic growth [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2018 This paper investigates the stability and Hopf bifurcation of SEIR delay model with logistic growth. Firstly, the existence and uniqueness of equilibrium point are analyzed.
Aekabut Sirijampa +2 more
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Bifurcation from zero or infinity in nonlinearizable Sturm–Liouville problems with indefinite weight
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper, we consider bifurcation from zero or infinity of nontrivial solutions of the nonlinear Sturm–Liouville problem with indefinite weight. This problem is mainly important because of it is related with a selection-migration model in genetic ...
Ziyatkhan Aliyev, Leyla Nasirova
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Relaxation to Fixed Points in the Logistic and Cubic Maps: Analytical and Numerical Investigation
Entropy, 2013 Convergence to a period one fixed point is investigated for both logistic and cubic maps. For the logistic map the relaxation to the fixed point is considered near a transcritical bifurcation while for the cubic map it is near a pitchfork bifurcation. We
Edson D. Leonel +2 more
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Generic bifurcation of periodic points [PDF]
Transactions of the American Mathematical Society, 1970 This paper discusses the bifurcation of periodic points of a generic symplectic diffeomorphism of a two manifold that depends on a parameter. A complete classification of the types of bifurcation that can occur in the generic case is given.
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ON COMPUTATIONAL DIFFERENCES OF CRITICAL POINTS ON EQUILIBRIUM CURVE
International Journal for Computational Civil and Structural Engineering, 2017 In this paper, we discuss the features of investigating the type of the critical point on the equilibrium curve (bifurcation point or limit point). There are new ideas about the completion of the initial equilibrium at the limit point or bifurcation ...
Gaik A. Manuylov +2 more
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