6533b86dfe1ef96bd12c9676

RESEARCH PRODUCT

Darboux systems with a cusp point and pseudo-abelian integrals

Aymen Braghtha

subject

[ MATH ] Mathematics [math]Cusp (singularity)Pure mathematicsPolynomialApplied Mathematics[ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS]010102 general mathematics[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]Darboux integrability[MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS]Pseudo-abelian integrals[MATH] Mathematics [math]01 natural sciences010101 applied mathematicsLimit cyclesSingularityUniform boundednessPoint (geometry)First integral0101 mathematicsAbelian groupMSC : 34C07 ; 34C08[MATH]Mathematics [math]AnalysisMathematics

description

International audience; We study pseudo-abelian integrals associated with polynomial deformations of Darboux systems having a cuspidal singularity. Under some genericity hypothesis we provide locally uniform boundedness of on the number of their zeros.

yearjournalcountryeditionlanguage
2018-04-08
10.1016/j.jde.2019.08.038https://hal-univ-bourgogne.archives-ouvertes.fr/hal-02384073