Complex Dynamics in a Singular Delayed Bioeconomic Model with and without Stochastic Fluctuation
Discrete Dynamics in Nature and Society, 2015 A singular delayed biological economic predator-prey system with and without stochastic fluctuation is proposed. The conditions of singularity induced bifurcation are gained, and a state feedback controller is designed to eliminate such bifurcation ...
Xinyou Meng, Qingling Zhang
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Analysis on recurrence behavior in oscillating networks of biologically relevant organic reactions
Mathematical Biosciences and Engineering, 2019 In this paper, we present a new method based on dynamical system theory to study certain type of slow-fast motions in dynamical systems, for which geometric singular perturbation theory may not be applicable.
Pei Yu, Xiangyu Wang
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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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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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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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Boundary Driven Waveguide Arrays: Supratransmission and Saddle-Node Bifurcation [PDF]
SIAM Journal on Applied Mathematics, 2008 Some figures are removed due to file size ...
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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
Analysis of Bifurcations in a Wind Turbine System Based on DFIG
Emerging Science Journal, 2018 This main aim of this study is investigation of the dynamic stability in a grid-connected wing turbine system based on Double Feed Induction Generator (DFIG) using the bifurcation theory. Regarding the overview of stability by Cardenas et. al. [1].
Saber Khosravi +2 more
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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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