Smooth classification of 1-resonant vector fields on ?3

DOI10.1007/BF01377593zbMath0958.34025MaRDI QIDQ4488744

Jiazhong Yang

Publication date: 28 March 2001

Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)

zbMATH Keywords

vector fieldnormal formsingular pointresonancefinite determinacy

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) 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)

Related Items (2)

On the index of finite determinacy of vector fields with resonances ⋮ ON CONJUGATING EQUIVALENCE OF 0-RESONANT DIFFEOMORPHISMS ON ℝ³

Cites Work

• Smooth equivalence of germs of vector fields with a single zero eigenvalue or a pair of purely imaginary eigenvalues
• Finitely determined singularities of formal vector fields
• On finite determinacy of formal vector fields
• Singularities of vector fields
• Equivalence and Decomposition of Vector Fields About an Elementary Critical Point
• Unnamed Item

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