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Chaos via Shilnikov’s Saddle-Node Bifurcation in a Theory of the Electroencephalogram
Physical Review Letters, 2006We study the bifurcation diagram of a mesoscopic model of the human cortex. This model is known to exhibit robust chaotic behavior in the space of parameters that model exterior forcing. We show that the bifurcation diagram has an unusual degree of organization.
Van Veen, Lennaert, Liley, David T. J.
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Numerical Computation of Saddle-Node Homoclinic Bifurcation Points
SIAM Journal on Numerical Analysis, 1993This paper presents the convergence and stability of a numerical method for computing the intersection points of homoclinic bifurcation curves and saddle-node or transcritical bifurcation curves.
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Asymptotics of the Solution of a Differential Equation in a Saddle–Node Bifurcation
Computational Mathematics and Mathematical Physics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Predicting saddle-node bifurcations using transient dynamics: a model-free approach
Nonlinear Dynamics, 2023Giuseppe Habib
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Normal forms for saddle-node bifurcations: Takens’ coefficient and applications in climate models
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2022David J. W. Simpson, Paul Glendinning
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Carryover of a Saddle-Node Bifurcation After Transforming a Parameter into a Variable
Journal of Dynamics and Differential Equations, 2021Gustavo Carrero +2 more
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Conditions for saddle-node bifurcations in AC/DC power systems
International Journal of Electrical Power and Energy Systems, 1995C A Canizares
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New methods for computing a saddle-node bifurcation point for voltage stability analysis
IEEE Transactions on Power Systems, 1995Chih-Wen Liu, J S Thorp
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