Cyclicity of planar polycycles and ensembles with codimension 3 degeneration through a saddle-node and two hyperbolic saddles

DOI10.1007/BF02871666zbMath0913.34023MaRDI QIDQ1272307

Lincheng Zhao

Publication date: 21 December 1998

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

zbMATH Keywords

Hilbert's 16th problempolycyclestransition mapcyclicity of a polycyclefinitely smooth normal forms

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20)

Related Items (3)

Cyclicity of several planar graphics and ensembles through three singular points without generic conditions ⋮ Cyclicity of elementary polycycles and ensembles with codimension \(3\) degeneration. ⋮ Cyclicity of degenerate polycycles through a saddle-node and two hyperbolic saddles

Cites Work

• Unnamed Item
• Hilbert's 16th problem for quadratic vector fields
• Finitely-smooth normal forms of local families of diffeomorphisms and vector fields
• Elementary graphics of cyclicity 1 and 2

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