Remarks on Krasnoselskii bifurcation theorem
Raffaele Chiappinelli (1989)
Commentationes Mathematicae Universitatis Carolinae
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Raffaele Chiappinelli (1989)
Commentationes Mathematicae Universitatis Carolinae
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Jolanta Przybycin (1991)
Annales Polonici Mathematici
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C.J. Amick, J.F. Toland (1983)
Mathematische Annalen
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Alessio Porretta (2002)
Rendiconti del Seminario Matematico della Università di Padova
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W. K. Kordylewski (1982)
Applicationes Mathematicae
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Jolanta Przybycin (1989)
Annales Polonici Mathematici
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Walter Dambrosio (2000)
Rendiconti del Seminario Matematico della Università di Padova
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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.
Stewart Welsh (1998)
Colloquium Mathematicae
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Covadonga Blanco García, Carmen Rodríguez Iglesias (1987)
Extracta Mathematicae
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Borisov, Milen, Dimitrova, Neli (2010)
Serdica Journal of Computing
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This paper presents two algorithms for one-parameter local bifurcations of equilibrium points of dynamical systems. The algorithms are implemented in the computer algebra system Maple 13 © and designed as a package. Some examples are reported to demonstrate the package’s facilities. * This paper is partially supported by the Bulgarian Science Fund under grant Nr. DO 02–359/2008.