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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Georgescu, Adelina (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
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Ugo Bessi (1995)
Mathematische Zeitschrift
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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.
Hongtao Liang, Yanxia Tang, Li Li, Zhouchao Wei, Zhen Wang (2013)
Kybernetika
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In order to further understand a complex 3-D dynamical system proposed by Qi et al, showing four-wing chaotic attractors with very complicated topological structures over a large range of parameters, we study degenerate Hopf bifurcations in the system. It exhibits the result of a period-doubling cascade to chaos from a Hopf bifurcation point. The theoretical analysis and simulations demonstrate the rich dynamics of the system.
Ilhem Djellit, Ibtissem Boukemara (2004)
Visual Mathematics
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De Carvalho Braga, Denis, Mello, Luis Fernando, Messias, Marcelo (2009)
Mathematical Problems in Engineering
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Tramontana, Fabio, Gardini, Laura, Dieci, Roberto, Westerhoff, Frank (2009)
Discrete Dynamics in Nature and Society
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Covadonga Blanco García, Carmen Rodríguez Iglesias (1987)
Extracta Mathematicae
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