SEVEN LARGE-AMPLITUDE LIMIT CYCLES IN A CUBIC POLYNOMIAL SYSTEM

DOI10.1142/S0218127406014940zbMath1111.37035OpenAlexW1995028922MaRDI QIDQ5484874

Yi-rong Liu, Wen-tao Huang

Publication date: 21 August 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127406014940

zbMATH Keywords

isochronous centerlimit cycleinfinityfocal valuesingular point value

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) Dynamics induced by flows and semiflows (37C10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

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Cites Work

• Bifurcation at infinity in polynomial vector fields
• Bifurcations of limit cycles from infinity for a class of quintic polynomial system
• A cubic system with eight small-amplitude limit cycles
• A new method to determine isochronous center conditions for polynomial differential systems.
• Stability and bifurcations of limit cycles of the equator in a class of cubic polynomial systems.
• Eleven small limit cycles in a cubic vector field

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