Global Phase Portraits for the Kukles Systems of Degree 3 with ℤ2-Reversible Symmetries

DOI10.1142/S0218127421500838zbMath1469.34048OpenAlexW3168031109MaRDI QIDQ4990673

Claudia Valls, Ronisio Ribeiro, Fabio Scalco Dias

Publication date: 31 May 2021

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127421500838

zbMATH Keywords

bifurcation diagramphase portraitPoincaré compactificationKukles system\(\mathbb{Z}_2\)-symmetry

Mathematics Subject Classification ID

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) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23)

Related Items

Kukles systems of degree three with global centers, On the cubic Kukles systems with an algebraic limit cycle of degree two

Cites Work

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• Global Phase Portraits for a Planar ℤ2-Equivariant Kukles Systems of Degree 3
• Global Phase Portraits for the Abel Quadratic Polynomial Differential Equations of the Second Kind With Z₂-symmetries