Results 131 to 140 of about 26,001 (267)
Saddle-node bifurcation of homoclinic orbits in singular systems
Discrete & Continuous Dynamical Systems - A, 2001 The author studies the following singularly perturbed system \[ \dot \xi=f_0(\xi)+\varepsilon f_1(\xi ,\eta ,\varepsilon),\quad \dot \eta =\varepsilon g(\xi ,\eta ,\varepsilon) ,\tag{1} \] where \(\xi \in \Omega \subset \mathbb{R}^n\), \(\eta \in \mathbb{R}\) and \(\varepsilon \in \mathbb{R}\) is a small parameter. It is assumed that the boundary layer
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Scale-free patterns at a saddle-node bifurcation in a stochastic system [PDF]
, 2008 Mami Iwata, Shin‐ichi Sasa
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Bifurcation Analysis of the Dynamics in COVID-19 Transmission through Living and Nonliving Media
Journal of Applied MathematicsTransmission of COVID-19 occurs either through living media, such as interaction with a sufferer, or nonliving objects contaminated with the virus. Recovering sufferers and disinfectant spraying prevent interaction between people and virus become the ...
Ario Wiraya +5 more
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Bifurcation analysis of an SIS model with a modified nonlinear incidence rate
Electronic Research ArchiveA modified nonlinear incidence rate in an SIS epidemic model was investigated. When a new disease emerged or an old one resurged, the infectivity was initially high. Subsequently, the psychological effect attenuated the infectivity.
Jianzhi Cao +3 more
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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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Saddle-node bifurcation to jammed state for quasi-one-dimensional counter-chemotactic flow [PDF]
, 2010 Masashi Fujii +2 more
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Shilnikov saddle-node bifurcation
Scholarpedia, 2008 Andrey Shilnikov, Leonid P Shilnikov
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AxiomsThis paper studies a particular type of planar Filippov system that consists of two discontinuity boundaries separating the phase plane into three disjoint regions with different dynamics. This type of system has wide applications in various subjects. As
Nanbin Cao, Yue Zhang, Xia Liu
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Saddle-node bifurcation of limit cycles in an epidemic model with two levels of awareness
, 2022 David Juher, David Rojas, Joan Saldaña
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Normal forms for saddle-node bifurcations: Takens' coefficient and applications in climate models
, 2022 Paul Glendinning, David J. W. Simpson
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