Planar systems and Abel equations

DOI10.3934/cpaa.2022110OpenAlexW4285743061MaRDI QIDQ2079207

Yanyan Li

Publication date: 29 September 2022

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2022110

zbMATH Keywords

limit cycleperiodic solutionAbel equationcubic planar system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Cites Work

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• Qualitative Tools for Studying Periodic Solutions and Bifurcations as Applied to the Periodically Harvested Logistic Equation
• A counterexample to the composition condition conjecture for polynomial Abel differential equations

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