Alien limit cycles in Abel equations

DOI10.1016/j.jmaa.2019.123525zbMath1434.34035OpenAlexW2976651471WikidataQ127218690 ScholiaQ127218690MaRDI QIDQ2011233

Yanyan Li

Publication date: 28 November 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2019.123525

zbMATH Keywords

periodic solutionsbifurcationAbel equationabelian integralsalien limit cycles

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) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (7)

Rational Periodic Solutions on Some Generalized Abel Equations ⋮ Rational solutions of Abel trigonometric polynomial differential equations ⋮ Characterization of the existence of non-trivial limit cycles for generalized Abel equations ⋮ Rational limit cycles of Abel equations ⋮ On the Number of Limit Cycles in Generalized Abel Equations ⋮ Rational limit cycles on Bernoulli and Riccati equations ⋮ Rational limit cycles on generalized Bernouilli polynomial equations

Cites Work

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