Saddle-Node-Hopf Bifurcation for Neutral Functional Differential Equations
, 2023 Houssem Achouri
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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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Codimension two and three bifurcations of a predator–prey system with group defense and prey refuge
Nonlinear Analysis, 2015 A predator–prey system with nonmonotonic functional response and prey refuge is considered. We mainly obtain that the system has the bifurcations of cusp-type codimension two and three, these illustrate that the dynamic behaviors of the model with prey ...
Xia Liu, Jinling Wang
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Toroidal normal forms for bifurcations in retarded functional differential equations II: Saddle-node/multiple Hopf interaction [PDF]
, 2005 Younsun Choi, Victor G. LeBlanc
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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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Saddle-node bifurcation cascade in optically injected lasers
, 2009 Self-similar structures converging to accumulation points are observed in optically injected lasers. These structures are associated to saddle-node bifurcations. We found that these phenomena can be properly explained in the framework of saddle-node bifurcation cascade.
Martin, Jesus San +1 more
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Carryover of a saddle-node bifurcation after transforming a parameter into a variable [PDF]
, 2021 Carlos Contreras +2 more
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Nonlinear AnalysisThis paper investigates the effect of fear effect and constant-type harvesting on the dynamic of a Leslie–Gower predator–prey model. Initially, an analysis is carried out to identify all potential equilibria and evaluate their stability.
Chenyang Huangfu, Zhong Li
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Non-Smooth Saddle-Node Bifurcations of Forced Monotone Interval Maps I: Existence of an SNA [PDF]
, 2013 Gabriel Fuhrmann
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No stability switching at saddle-node bifurcations of solitary waves in generalized nonlinear Schrödinger equations [PDF]
, 2012 Jianke Yang
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