The connection between number and form of bifurcation points and properties of the nonlinear perturbation of Berestycki type
Jolanta Przybycin (1989)
Annales Polonici Mathematici
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Jolanta Przybycin (1989)
Annales Polonici Mathematici
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Viktor Avrutin, Michael Schanz, Björn Schenke (2012)
ESAIM: Proceedings
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Knowledge about the behavior of discontinuous piecewise-linear maps is important for a wide range of applications. An efficient way to investigate the bifurcation structure in 2D parameter spaces of such maps is to detect specific codimension-2 bifurcation points, called organizing centers, and to describe the bifurcation structure in their neighborhood. In this work, we present the organizing centers in the 1D discontinuous piecewise-linear...
J., Takens, F. Palis (1985)
Inventiones mathematicae
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Covadonga Blanco García, Carmen Rodríguez Iglesias (1987)
Extracta Mathematicae
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Robert Morris Pierce
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André L. Vanderbauwhede (1986)
Archivum Mathematicum
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Abbas Bahri (2006)
Journal of the European Mathematical Society
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We prove a formula relating the index of a solution and the rotation number of a certain complex vector along bifurcation diagrams.
Thunberg, Hans (1994)
Experimental Mathematics
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Georgescu, Adelina (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
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