Bifurcation analysis of a van der Pol-Duffing circuit with parallel resistor.
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De Carvalho Braga, Denis, Mello, Luis Fernando, Messias, Marcelo (2009)
Mathematical Problems in Engineering
Sergio Plaza, Jaime Vera (1997)
Annales de l'I.H.P. Analyse non linéaire
Abderaouf Mourtada (1994)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Salem Mathlouthi (1992)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Pierre Cartigny (1984)
Publications du Département de mathématiques (Lyon)
Rafael Labarca (1995)
Annales scientifiques de l'École Normale Supérieure
Tonkes, Elliot (2011)
International Journal of Mathematics and Mathematical Sciences
Michal Fečkan (1991)
Applications of Mathematics
The paper deals with the bifurcation phenomena of heteroclinic orbits for diffeomorphisms. The existence of a Melnikov-like function for the two-dimensional case is shown. Simple possibilities of the set of heteroclinic points are described for higherdimensional cases.
M. A. Zaks, D. V. Lyubimov (1989)
Banach Center Publications
Li Jibin, Liu Zhenrong (1991)
Publicacions Matemàtiques
In this paper we consider a class of perturbation of a Hamiltonian cubic system with 9 finite critical points. Using detection functions, we present explicit formulas for the global and local bifurcations of the flow. We exhibit various patterns of compound eyes of limit cycles. These results are concerned with the weakened Hilbert's 16th problem posed by V. I. Arnold in 1977.
Thomas Bartsch, Mónica Clapp (1990)
Mathematische Zeitschrift
M. J. Dias Carneiro, Jacob Palis (1989)
Publications Mathématiques de l'IHÉS
Sheldon E. Newhouse, Jacob Palis, Floris Takens (1983)
Publications Mathématiques de l'IHÉS
Jean-Christophe Yoccoz (1985/1986)
Séminaire Bourbaki
Alain Chenciner (1985)
Publications Mathématiques de l'IHÉS
A. Chenciner (1985)
Inventiones mathematicae
Alain Chenciner (1987)
Publications Mathématiques de l'IHÉS
Mohamed El Morsalani (1994)
Annales de la Faculté des sciences de Toulouse : Mathématiques
G. Iooss (1979/1980)
Séminaire Équations aux dérivées partielles (Polytechnique)
Leo Jonker, David Rand (1980/1981)
Inventiones mathematicae
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