On a class of polynomial differential systems of degree 4: phase portraits and limit cycles

DOI10.12775/TMNA.2020.042zbMath1486.34072OpenAlexW3170298643MaRDI QIDQ2240527

Jaume Llibre, Tayeb Salhi

Publication date: 4 November 2021

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2020.042

zbMATH Keywords

limit cyclesphase portraitscenterspolynomial vector fieldspolynomial differential systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Averaging method for ordinary differential equations (34C29) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Cites Work

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