Center conditions and limit cycles for a class of nilpotent-Poincarè systems

DOI10.1016/j.amc.2014.05.121zbMath1335.34065OpenAlexW2073744471MaRDI QIDQ279863

Feng Li, Yusen Wu

Publication date: 29 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.05.121

zbMATH Keywords

centerfocusLyapunov constantnilpotent Poincarè systemsrotated vector field

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Cites Work

• Reversibility and classification of nilpotent centers
• Singularities of vector fields
• BIFURCATIONS OF LIMIT CYCLES AND CENTER PROBLEM FOR A CLASS OF CUBIC NILPOTENT SYSTEM
• Investigation of the behaviour of the integral curves of a system of two differential equations in the neighbourhood of a singular point
• Symétrie et forme normale des centres et foyers dégénérés
• The center-focus problem and reversibility