Hopf bifurcation from infinity
Marco Sabatini (1987)
Rendiconti del Seminario Matematico della Università di Padova
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Marco Sabatini (1987)
Rendiconti del Seminario Matematico della Università di Padova
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M. A. Zaks, D. V. Lyubimov (1989)
Banach Center Publications
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De Carvalho Braga, Denis, Mello, Luis Fernando, Messias, Marcelo (2009)
Mathematical Problems in Engineering
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A. Vanderbauwhede (1989)
Banach Center Publications
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G. Cicogna (1986)
Rendiconti del Seminario Matematico della Università di Padova
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Feng, Beiye, Hu, Rui (2003)
Applied Mathematics E-Notes [electronic only]
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Emilio Freire, Enrique Ponce, Francisco Torres (1997)
Publicacions Matemàtiques
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Continuous planar piecewise linear systems with two linear zones are considered. Due to their low differentiability specific techniques of analysis must be developed. Several bifurcations giving rise to limit cycles are pointed out.
K.P. Hadeler (1980)
Numerische Mathematik
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Armengol Gasull, Rafel Prohens (2000)
Extracta Mathematicae
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In this paper we give simple and low degree examples of one-parameter polynomial families of planar differential equations which present generic, codimension one, isolated, compact bifurcations. In contrast with some examples which appear in the usual text books each bifurcation occurs when the bifurcation parameter is zero. We study the total number of limit cycles that the examples present and we also make their phase portraits on the Poincaré sphere.