Stable hyperbolic limit cycles for a class of differential systems

DOI10.3103/S1066369X21090061zbMath1492.34031OpenAlexW3206147031WikidataQ115488670 ScholiaQ115488670MaRDI QIDQ2066450

S. E. Hamizi, Rachid Boukoucha

Publication date: 14 January 2022

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x21090061

zbMATH Keywords

limit cycledynamical systeminvariant algebraic curvefirst integralHilbert 16th problem

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05) Invariant manifolds for ordinary differential equations (34C45)

Cites Work

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• Explicit non-algebraic limit cycles for polynomial systems
• The limit cycle of the van der Pol equation is not algebraic
• On the exact limit cycle for some class of planar differential systems
• Qualitative theory of planar differential systems
• Coexistence of algebraic and non-algebraic limit cycles, explicitly given, using Riccati equations
• On the dynamics of a class of rational Kolmogorov systems
• Algebraic limit cycles in polynomial systems of differential equations

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