Global phase portraits of the quadratic systems having a singular and irreducible invariant curve of degree 3

DOI10.1142/S0218127423500037zbMATH Open1544.3404MaRDI QIDQ6537594

J. Llibre, Chara Pantazi

Publication date: 14 May 2024

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

zbMATH Keywords

singular curvecubic curvePoincaré diskpolycyclesglobal phase portraitseparatricescanonical regions

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Geometric methods in ordinary differential equations (34A26) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

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