The algebraic limit cycles of planar cubic systems

DOI10.33048/semi.2020.17.136zbMath1464.34055OpenAlexW3115932832MaRDI QIDQ2227025

Vladimir Mikhaĭlovich Cheresiz, Evgenii Pavlovich Volokitin

Publication date: 9 February 2021

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2020.17.136

zbMATH Keywords

algebraic limit cyclesnon-algebraic limit cyclestwo-dimensional autonomous polynomial systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (1)

Polynomial differential systems with hyperbolic limit cycles

Cites Work

• Algebraic and topological classification of the homogeneous cubic vector fields in the plane
• Dynamics of the polynomial differential systems with homogeneous nonlinearities and a star node
• The qualitative analysis of the plane polynomial Darboux systems
• Coexistence of algebraic and non-algebraic limit cycles, explicitly given, using Riccati equations

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