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The First Bifurcation Point for Delaunay Nodoids [PDF]
Experimental Mathematics, 2004 We give two numerical methods for computing the first bifurcation point for Delaunay nodoids. With regard to methods for constructing constant mean curvature surfaces, we conclude that the bifurcation point in the analytic method of Mazzeo- Pacard is the
W. Rossman
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On the first bifurcation point for a free boundary problem modeling a small arterial plaque [PDF]
Mathematical methods in the applied sciences, 2020 When plaques block the arteries, atherosclerosis occurs. Severe atherosclerosis would result in fatal cardiovascular diseases such as stroke, heart attack, coronary artery disease, or peripheral artery disease; these are leading causes of death in the ...
X. Zhao, Bei Hu
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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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More complex dynamics in a discrete prey-predator model with the Allee effect in prey
Mathematical Biosciences and Engineering, 2023 In this paper, we revisit a discrete prey-predator model with the Allee effect in prey to find its more complex dynamical properties. After pointing out and correcting those known errors for the local stability of the unique positive fixed point $ E_*, $
Mianjian Ruan, Xianyi Li, Bo Sun
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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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Discrete Leslie's model with bifurcations and control
AIMS Mathematics, 2023 We explored a local stability analysis at fixed points, bifurcations, and a control in a discrete Leslie's prey-predator model in the interior of $ \mathbb{R}_+^2 $.
A. Q. Khan, Ibraheem M. Alsulami
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Not every conjugate point of a semi-Riemannian geodesic is a bifurcation point [PDF]
Differential and Integral Equations, 2017 We revisit an example of a semi-Riemannian geodesic that was discussed by Musso, Pejsachowicz and Portaluri in 2007 to show that not every conjugate point is a bifurcation point.
G. Marchesi +2 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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