Phase portraits of a class of cubic systems with an ellipse and a straight line as invariant algebraic curves

DOI10.1007/s12591-022-00597-9MaRDI QIDQ6568970

Jaume Llibre, A. Bakhshalizadeh

Publication date: 8 July 2024

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

limit cyclephase portraitPoincaré discinvariant straight lineinvariant ellipsecubic polynomial differential system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08) Symmetries and invariants of dynamical systems (37C79)

Cites Work

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