Quadratic systems equivalent by domains to a linear one: global phase portraits.
M. Ndiaye, H. Giacomini (2000)
Extracta Mathematicae
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M. Ndiaye, H. Giacomini (2000)
Extracta Mathematicae
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Jürg Fröhlich, Thomas Spencer (1982)
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Vladimir N. Grujić (2011)
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Yahya Ould Hamidoune, Oriol Serra, Gilles Zémor (2006)
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Joan C. Artés, Jaume Llibre (1997)
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We study phase portraits of quadratic vector fields with a weak focus of third order at the origin. We show numerically the existence of at least 20 different global phase portraits for such vector fields coming from exactly 16 different local phase portraits available for these vector fields. Among these 20 phase portraits, 17 have no limit cycles and three have at least one limit cycle.
Perera, Kanishka (1998)
Abstract and Applied Analysis
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Li, Shujie, Su, Jiabao (1996)
Abstract and Applied Analysis
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Ján Plesník (1975)
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Janusz Gwoździewicz, Maciej Sękalski (2004)
Annales Polonici Mathematici
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We construct a polynomial f:ℂ² → ℂ of degree 4k+2 with no critical points in ℂ² and with 2k critical values at infinity.
Yahya Ould Hamidoune (2011)
Acta Arithmetica
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Grzegorz Świątek (1991)
Fundamenta Mathematicae
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