Search results for "MSC : 34C07"

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Darboux systems with a cusp point and pseudo-abelian integrals

2018

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.

[ 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
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