Limit cycles and integrability in a class of systems with high-order nilpotent critical points

DOI10.1155/2013/861052zbMath1309.34043OpenAlexW2028293516WikidataQ58917631 ScholiaQ58917631MaRDI QIDQ370277

Jianlong Qiu, Feng Li

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/861052

zbMATH Keywords

centerweak focusLyapunov constantsnilpotent critical point

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) Bifurcation theory for ordinary differential equations (34C23) Periodic orbits of vector fields and flows (37C27)

Cites Work

• Center conditions and bifurcation of limit cycles at three-order nilpotent critical point in a septic Lyapunov system
• Bifurcation of limit cycles at the equator for a class of polynomial differential system
• The center-focus problem for a system with homogeneous nonlinearities in the case of zero eigenvalues of the linear part
• Generating limit cycles from a nilpotent critical point via normal forms
• A cubic polynomial system with seven limit cycles at infinity
• A quintic polynomial differential system with eleven limit cycles at the infinity
• SEVEN LARGE-AMPLITUDE LIMIT CYCLES IN A CUBIC POLYNOMIAL SYSTEM
• MONODROMY AND STABILITY FOR NILPOTENT CRITICAL POINTS

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