Quadratic systems equivalent by domains to a linear one: global phase portraits.
M. Ndiaye, H. Giacomini (2000)
Extracta Mathematicae
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Displaying similar documents to “Chordal cubic systems.”
Quadratic systems equivalent by domains to a linear one: global phase portraits.
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Quadratic vector fields with a weak focus of third order.
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.
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Perera, Kanishka (1998)
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Janusz Gwoździewicz, Maciej Sękalski (2004)
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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.
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Circle homeomorphisms with flat critical points
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Fundamenta Mathematicae
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Iterations of rational functions: which hyperbolic components contain polynomials?
Feliks Przytycki (1996)
Fundamenta Mathematicae
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Let be the set of all rational maps of degree d ≥ 2 on the Riemann sphere, expanding on their Julia set. We prove that if and all, or all but one, critical points (or values) are in the basin of immediate attraction to an attracting fixed point then there exists a polynomial in the component H(f) of containing f. If all critical points are in the basin of immediate attraction to an attracting fixed point or a parabolic fixed point then f restricted to the Julia set is conjugate...