Small amplitude limit cycles of symmetric cubic systems

DOI10.1016/J.CAMWA.2007.07.020zbMath1165.34336OpenAlexW2076409513MaRDI QIDQ2389716

Terence R. Blows

Publication date: 18 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.07.020

zbMATH Keywords

limit cyclesHopf bifurcationcubic systemsHilbert's sixteenth problem

Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (1)

The number of small amplitude limit cycles in arbitrary polynomial systems

Cites Work

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• Ljapunov approach to multiple Hopf bifurcation
• Twelve limit cycles in a cubic order planar system with \(Z_2\) symmetry
• Some cubic systems with several limit cycles
• The number of limit cycles of certain polynomial differential equations
• Eleven small limit cycles in a cubic vector field

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