Results 161 to 170 of about 35,466 (285)
New methods for computing a saddle-node bifurcation point for voltage stability analysis [PDF]
, 1995 Jin Lu, Chih‐Wen Liu, James S. Thorp
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Bifurcations of the Hénon map with additive bounded noise [PDF]
arXivWe numerically study bifurcations of attractors of the H\'enon map with additive bounded noise with spherical reach. The bifurcations are analysed using a finite-dimensional boundary map. We distinguish between two types of bifurcations: topological bifurcations and boundary bifurcations.
arxiv
Stability of a saddle node bifurcation under numerical approximations
Computers & Mathematics with Applications, 2005 AbstractIn this paper, we show that the solution flows generated by a one-parameter family of ordinary differential equations are stable under their numerical approximations in a vicinity of a saddle node. Our result sharpens the one in [1] and the proof is adapted from the method of Sotomayor in [2,3].
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Large bifurcation supports [PDF]
arXiv, 2018 In the study of global bifurcations of vector fields on $S^2$, it is important to distinguish a set "where the bifurcation actually occurs", -- the bifurcation support. Hopefully, it is sufficient to study the bifurcation in a neighborhood of the support only. The first definition of bifurcation support was proposed by V.Arnold.
arxiv
Bifurcation Analysis of a Rigid Impact Oscillator with Bilinear Damping
Shock and Vibration, 2018 This paper studies a rigid impact oscillator with bilinear damping developed as the mechanical model of an impulsive switched system. The stability and the bifurcation of periodic orbits in the impact oscillator are determined by using the mapping ...
Liping Zhang, Haibo Jiang, Yang Liu
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A planar model system for the saddle–node Hopf bifurcation with global reinjection [PDF]
, 2004 Bernd Krauskopf, Bart E. Oldeman
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Rigorous verification of saddle–node bifurcations in ODEs
Indagationes Mathematicae, 2016 Abstract In this paper, we introduce a general method for the rigorous verification of saddle–node bifurcations in ordinary differential equations. The approach is constructive in the sense that we obtain precise and explicit bounds within which the saddle–node bifurcation occurs. After introducing a set of sufficient generic conditions, an algorithm
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, 1993 Chemical mechanisms with oscillations or bistability undergo Hopf or saddle‐node bifurcations on parameter space hypersurfaces, which intersect in codimension‐2 Takens–Bogdanov bifurcation hypersurfaces.
B. L. Clarke, Wei-Feng Jiang
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Voltage Stability Bifurcation Analysis for AC/DC Systems with VSC-HVDC
Abstract and Applied Analysis, 2013 A voltage stability bifurcation analysis approach for modeling AC/DC systems with VSC-HVDC is presented. The steady power model and control modes of VSC-HVDC are briefly presented firstly.
Yanfang Wei +4 more
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Variational principle for bifurcation in Lagrangian mechanics [PDF]
arXiv, 2019 An application of variational principle to bifurcation of periodic solution in Lagrangian mechanics is shown. A few higher derivatives of the action integral at a periodic solution reveals the behaviour of the action in function space near the solution. Then the variational principle gives a method to find bifurcations from the solution.
arxiv