On centers of type of polynomial systems
Roberto Conti (1990)
Archivum Mathematicum
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Displaying similar documents to “On centers of type A and B of polynomial systems”
On centers of type of polynomial systems
The Real Jacobian Conjecture for polynomials of degree 3
Janusz Gwoździewicz (2001)
Annales Polonici Mathematici
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We show that every local polynomial diffeomorphism (f,g) of the real plane such that deg f ≤ 3, deg g ≤ 3 is a global diffeomorphism.
Degrees of Polynomial Solutions of a Class of Riccati - tipe Differential Equations*.
Mira Bhargava (1964)
Collectanea Mathematica
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Totally bounded differential polynomial systems in
Roberto Conti, Marcello Galeotti (2002)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Totally bounded differential systems in are defined as having all trajectories bounded. By Dulac’s finiteness theorem it is proved that totally bounded polynomial systems exhibit an unbounded «annulus» of cycles. The portrait of the remaining trajectories is examined in the case the system has, in , a unique singular point. Work is in progress concerning the study of totally bounded polynomial systems with two singular points.
Plane Jacobian conjecture for simple polynomials
Nguyen Van Chau (2008)
Annales Polonici Mathematici
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A non-zero constant Jacobian polynomial map F=(P,Q):ℂ² → ℂ² has a polynomial inverse if the component P is a simple polynomial, i.e. its regular extension to a morphism p:X → ℙ¹ in a compactification X of ℂ² has the following property: the restriction of p to each irreducible component C of the compactification divisor D = X-ℂ² is of degree 0 or 1.
Existence of Polynomial Solutions of a Class of Riccati-Type Differential Equations.
H. Kaufman, Mira Bhargava (1965)
Collectanea Mathematica
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On the global asymptotic stability problem and the Jacobian conjecture
Ludwik Drużkowski (2005)
Control and Cybernetics
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