Bifurcation phenomenon of a class of planar codimension 3 polycycle \(S^{(2)}\) with two saddles resonating

DOI10.1007/BF02876371zbMath0935.37018OpenAlexW1999011959MaRDI QIDQ1392641

Baoyi Li, Zhi-Fen Zhang

Publication date: 3 May 2000

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02876371

zbMATH Keywords

bifurcation diagrampolycyclesfinite-smooth normal form

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (1)

Cyclicity of elementary polycycles and ensembles with codimension \(3\) degeneration.

Cites Work

• Unnamed Item
• Degenerate and non-trivial hyperbolic polycycles with two vertices
• Finitely-smooth normal forms of local families of diffeomorphisms and vector fields
• Degenerate and non-trivial hyperbolic 2-polycycles: appearance of two independent Ecalle-Roussarie compensators and Khovanskii's theory

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