The global bifurcation of a cubic system

DOI10.1007/s10255-006-0308-5zbMath1107.34029OpenAlexW1969491475MaRDI QIDQ2431954

Jinping Sun, Desheng Shang, Mao'an Han

Publication date: 24 October 2006

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-006-0308-5

zbMATH Keywords

cubic systemlimit cyclehomoclinic loop

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23)

Cites Work

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• Bifurcations of limit cycles forming compound eyes in the cubic system
• Higher order bifurcations of limit cycles
• Cyclicity of planar homoclinic loops and quadratic integrable systems
• On the number of limit cycles in double homoclinic bifurcations
• On the stability of double homoclinic and heteroclinic cycles.
• Linear estimate for the number of zeros of Abelian integrals with cubic Hamiltonians
• The Hopf cyclicity of Lienard systems

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