Uniqueness of limit cycles for quadratic vector fields

DOI10.3934/dcds.2019020zbMath1427.34043arXiv1709.00903OpenAlexW2963758016MaRDI QIDQ1633140

Y. Aharonov

Publication date: 19 December 2018

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.00903

zbMATH Keywords

limit cycleperiodic solutionAbel equationalgebraic varietyclosed solution

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (1)

Rational solutions of Abel differential equations

Uses Software

• SINGULAR

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