Limit cycles in a quartic system with a third-order nilpotent singular point

DOI10.1186/s13662-018-1607-xzbMath1446.34052OpenAlexW2802318216MaRDI QIDQ1712207

Xinli Li

Publication date: 21 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1607-x

zbMATH Keywords

Lyapunov constantsbifurcation of limit cyclesnilpotent critical pointquartic system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) 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) 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)

Related Items (1)

Existence of limit cycles for a class of quartic polynomial differential system depending on parameters

Uses Software

• Maple

Cites Work

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