Weak 16th Hilbert’s Problem - Resultats de la cerca - Dipòsit Digital de Documents de la UAB

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No s'ha trobat cap coincidència exacta per Hilbert’s, però canviant-lo per Hilbert s...

Resultats globals: 3 registres trobats en 0.05 segons.
Articles, 3 registres trobats

Articles	3 registres trobats

15 p, 386.1 KB

Upper bounds for the number of zeroes for some Abelian integrals / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Consider the vector field x' = −yG(x, y), y' = xG(x, y), where the set of critical points {G(x, y) = 0} is formed by K straight lines, not passing through the origin and parallel to one or two orthogonal directions. [...]
2012 - DOI (Digital Object Identifier)

10.1016/j.na.2012.04.033
Nonlinear Analysis : Theory, Methods and Applications, Vol. 75 (2012) , p. 5169-5179

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11 p, 279.4 KB

Limit cycles appearing from the perturbation of a system with a multiple line of critical points / Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Consider the planar ordinary differential equation ˙x = −y(1 − y)m, y˙ = x(1 − y)m, where m is a positive integer number. We study the maximum number of zeroes of the Abelian integral M that controls the limit cycles that bifurcate from the period annulus of the origin when we perturb it with an arbitrary polynomial vector field. [...]
2012 - DOI (Digital Object Identifier)

10.1016/j.na.2011.08.032
Nonlinear Analysis : Theory, Methods and Applications, Vol. 75 (2012) , p. 278-285

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12 p, 350.1 KB

Complete Abelian integrals for polynomials whose generic fiber is biholomorphic to C^* / Rebollo-Perdomo, Salomón (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Let H be a polynomial of degree m + 1 on C2 such that its generic fiber is biholomorphic to C∗, and let ω be an arbitrary polynomial 1-form of degree n on C2. We give an upper bound depending only on m and n for the number of isolated zeros of the complete Abelian integral defined by H and ω.
2012 - DOI (Digital Object Identifier)

10.1016/j.jmaa.2012.05.014

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