The Bautin ideal of the Abel equation

DOI10.1088/0951-7715/11/3/003zbMath0905.34051OpenAlexW2004615973MaRDI QIDQ4208735

Yosef Yomdin, Jean-Pierre Françoise, Miriam Briskin

Publication date: 2 February 1999

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/11/3/003

zbMATH Keywords

polynomial coefficientsBautin idealBautin indexconvergent series expansionhomogeneous perturbationsperiodic Abel equations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ordinary differential equations of infinite order (34A35) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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