Number of zeros of complete abelian integrals for a primitive rational polynomial with non-trivial global monodromy

DOI10.1007/s00574-019-00172-xOpenAlexW2979422613WikidataQ127066309 ScholiaQ127066309MaRDI QIDQ2198173

Salomón Rebollo-Perdomo, Marco Uribe Santibáñez

Publication date: 9 September 2020

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-019-00172-x

zbMATH Keywords

limit cycleHilbert's 16th problemabelian integral

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (1)

A LINEAR ESTIMATION TO THE NUMBER OF ZEROS FOR ABELIAN INTEGRALS IN A KIND OF QUADRATIC REVERSIBLE CENTERS OF GENUS ONE

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