A quintic polynomial differential system with eleven limit cycles at the infinity

DOI10.1016/j.camwa.2006.02.029zbMath1152.34329OpenAlexW2043302122MaRDI QIDQ2519625

Qi Zhang, Yi-rong Liu

Publication date: 27 January 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.02.029

zbMATH Keywords

center conditionsbifurcation of limit cyclesinfinityquintic systemsingular point quantities

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

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Uses Software

• Mathematica

Cites Work

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• Bifurcation at infinity in polynomial vector fields
• Bifurcations of limit cycles from infinity for a class of quintic polynomial system
• Stability and bifurcations of limit cycles of the equator in a class of cubic polynomial systems.
• A cubic polynomial system with seven limit cycles at infinity
• HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS

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