A polynomial differential system with nine limit cycles at infinity

DOI10.1016/j.camwa.2003.08.008zbMath1154.34322OpenAlexW1969152209MaRDI QIDQ1767965

Wen-tao Huang, Yi-rong Liu

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2003.08.008

zbMATH Keywords

InfinityBifurcation of limit cyclesCenter conditionFocal valueSingular point quantity

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)

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Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Bifurcation at infinity in polynomial vector fields
• Theory of values of singular point in complex autonomous differential systems
• Stability and bifurcations of limit cycles of the equator in a class of cubic polynomial systems.
• Symmetry in planar dynamical systems
• A Cubic System with Eight Small-Amplitude Limit Cycles
• Eleven small limit cycles in a cubic vector field

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