On the centers of cubic polynomial differential systems with four invariant straight lines

DOI10.12775/TMNA.2020.004zbMath1454.34054OpenAlexW3029278677MaRDI QIDQ2194610

Jaume Llibre

Publication date: 4 September 2020

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1591908340

zbMATH Keywords

centercubic polynomial differential systemsinvariant straight line

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Invariant manifolds for ordinary differential equations (34C45)

Cites Work

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• On algebraic solutions of algebraic Pfaff equations
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