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Article
Bifurcations of Zeros in Translated Families of Functions and Applications
In this paper, we study the creation of zeros in a certain type of families of functions. The families studied are given by the difference of two basic functions with a translation made in the argument of one ...
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Article
Analytic Tools to Bound the Criticality at the Outer Boundary of the Period Annulus
In this paper we consider planar potential differential systems and we study the bifurcation of critical periodic orbits from the outer boundary of the period annulus of a center. In the literature the usual a...
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Article
On the Chebyshev Property of Certain Abelian Integrals Near a Polycycle
Dumortier and Roussarie formulated in (Discrete Contin Dyn Syst 2:723–781, 2009) a conjecture concerning the Chebyshev property of a collection ...