Bifurcation of centers - Resultats de la cerca - Dipòsit Digital de Documents de la UAB

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Resultats globals: 5 registres trobats en 0.15 segons.
Articles, 4 registres trobats Documents de recerca, 1 registres trobats

Articles	4 registres trobats

29 p, 980.9 KB

New lower bounds of the number of critical periods in reversible centers / Sanchez Sanchez, Ivan (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we aim to find the highest number of critical periods in a class of planar systems of polynomial differential equations for fixed degree having a center. We fix our attention to lower bounds of local criticality for low degree planar polynomial centers. [...]
2021 - DOI (Digital Object Identifier)

10.1016/j.jde.2021.05.013
Journal of differential equations, Vol. 292 (August 2021) , p. 427-460

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22 p, 352.2 KB

Criticality via first order development of the period constants / Sánchez-Sánchez, Iván (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this work we study the criticality of some planar systems of polynomial diﬀerential equations having a center for various low degrees n. To this end, we present a method which is equivalent to the use of the ﬁrst non-identically zero Melnikov function in the problem of limit cycles bifurcation, but adapted to the period function. [...]
2021 - DOI (Digital Object Identifier)

10.1016/j.na.2020.112164
Nonlinear Analysis : Theory, Methods and Applications, Vol. 203 (February 2021) , art. 112164

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29 p, 488.3 KB

Periodic orbits from second order perturbation via rational trigonometric integrals / Prohens, Rafel (Universitat de les Illes Balears. Departament de Ciències Matemàtiques i Informàtica) ; Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
The second order Poincaré-Pontryagin-Melnikov perturbation theory is used in this paper to study the number of bifurcated periodic orbits from certain centers. This approach also allows us to give the shape and the period up to first order. [...]
2014 - DOI (Digital Object Identifier)

10.1016/j.physd.2014.05.002
Physica D. Nonlinear phenomena, Vol. 280-281 (2014) , p. 59-72

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28 p, 438.5 KB

Limit cycles bifurcating from planar polynomial quasi-homogeneous centers / Giné, Jaume (Universitat de Lleida. Departament de Matemàtica) ; Grau, Maite (Universitat de Lleida. Departament de Matemàtica) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
In this paper we find an upper bound for the maximum number of limit cycles bifurcating from the periodic orbits of any planar polynomial quasi-homogeneous center, which can be obtained using first order averaging method. [...]
2015 - DOI (Digital Object Identifier)

10.1016/j.jde.2015.08.014
Journal of differential equations, Vol. 259 (2015) , p. 7135-7160

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Documents de recerca	1 registres trobats

132 p, 1.2 MB

Dois métodos para a investigação de ciclos limites que bifurcam de centros / Rezende, Alex Carlucci ; Oliveira, Regilene Delazari dos Santos, dir.
Um dos mais investigados problemas na teoria qualitativa dos sistemas dinâmicos no plano é o XVI problema de Hilbert que trata dos ciclos limites. Mais precisamente, a segunda parte do referido problema questiona sobre o número máximo de ciclos limites de um sistema diferencial polinomial plano de grau n. [...]
One of the most investigated problems in the qualitative theory of dynamical systems in the plane is the XVI Hilbert's problem which deals with limit cycles. More precisely, the second part of the problem asks about the maximum number of limit cycles of a polynomial differential system of degree n. [...]
2011

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