Universitat Autònoma de Barcelona

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Universitat Autònoma de Barcelona	2 records found	Search took 0.01 seconds.

23 p, 372.4 KB

Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold / Bastos, Jefferson L. R (Universidade Estadual Paulista. Instituto de Biociências, Letras e Ciências Exatas) ; Buzzi, Claudio (Universidade Estadual Paulista. Instituto de Biociências, Letras e Ciências Exatas) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Novaes, Douglas D. (Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica)
We study the family of piecewise linear differential systems in the plane with two pieces separated by a cubic curve. Our main result is that 7 is a lower bound for the Hilbert number of this family. [...]
2019 - DOI (Digital Object Identifier)

10.1016/j.jde.2019.04.019
Journal of differential equations, Vol. 267, Issue 6 (September 2019) , p. 3748-3767

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23 p, 530.2 KB

On the upper bound of the criticality of potential systems at the outer boundary using the Roussarie-Ecalle compensator / Rojas, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
This paper is concerned with the study of the criticality of families of planar centers. More precisely, we study sufficient conditions to bound the number of critical periodic orbits that bifurcate from the outer boundary of the period annulus of potential centers. [...]
2019 - DOI (Digital Object Identifier)

10.1016/j.jde.2019.04.021
Journal of differential equations, Vol. 267, Issue 6 (September 2019) , p. 3922-3951

Detailed record -

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