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Bifurcation Theory: A Review [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2023 Bifurcation theory is a field of mathematics that studies the qualitative changes in the behavior of a dynamical system as a parameter in the system is varied.In this ...
Salma Farris, manal Hamdi
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Numerical Bifurcation Theory for High-Dimensional Neural Models. [PDF]
J Math Neurosci, 2014 Numerical bifurcation theory involves finding and then following certain types of solutions of differential equations as parameters are varied, and determining whether they undergo any bifurcations (qualitative changes in behaviour).
Laing CR.
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Qualitative methods in bifurcation theory [PDF]
Bulletin of the American Mathematical Society, 1978 No abstract.
Jerrold E. Marsden
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Banach Space Bifurcation Theory [PDF]
Transactions of the American Mathematical Society, 1972 We consider the bifurcation problem for the nonlinear operator equation x = λ L x + T ( λ , x , y ) x = \lambda Lx + T(\lambda ,x,y) in a real Banach space X X .
David Westreich
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Bifurcation theory and cardiac arrhythmias. [PDF]
Am J Cardiovasc Dis, 2013 In this paper we review two types of dynamic behaviors defined by the bifurcation theory that are found to be particularly useful in describing two forms of cardiac electrical instabilities that are of considerable importance in cardiac arrhythmogenesis.
Karagueuzian HS, Stepanyan H, Mandel WJ.
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Clustering in globally coupled oscillators near a Hopf bifurcation: theory and experiments. [PDF]
Physical review. E, Statistical, nonlinear, and soft matter physics, 2014 A theoretical analysis is presented to show the general occurrence of phase clusters in weakly, globally coupled oscillators close to a Hopf bifurcation.
H. Kori +4 more
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Bifurcation theory and localization phenomena [PDF]
European Journal of Environmental and Civil engineering, 2010 ABSTRACT The principles of strain localization analysis as applied to geomaterials are presented. Emphasis is given to the effects of fluid and temperature in the occurrence and development of instabilities.
Jean Sulem
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Bifurcation and Patterns Analysis for a Spatiotemporal Discrete Gierer-Meinhardt System
Mathematics, 2022 The Gierer-Meinhardt system is one of the prototypical pattern formation models. The bifurcation and pattern dynamics of a spatiotemporal discrete Gierer-Meinhardt system are investigated via the couple map lattice model (CML) method in this paper.
Biao Liu, Ranchao Wu
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Aspects of bifurcation theory for piecewise-smooth, continuous systems [PDF]
, 2010 D. Simpson, J. Meiss
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