On the index of finite determinacy of vector fields with resonances

DOI10.1007/s10114-008-7073-8zbMath1198.34058OpenAlexW2059742173MaRDI QIDQ2519346

Jiazhong Yang, Vincent Naudot

Publication date: 26 January 2009

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

Full work available at URL: https://doi.org/10.1007/s10114-008-7073-8

zbMATH Keywords

normal formsresonancevector fieldsindex of finite determinacy

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Normal forms for dynamical systems (37G05)

Cites Work

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• 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
• Polynomial normal forms for vector fields on \(\mathbf R^3\)
• Normal forms for certain singularities of vectorfields
• Smooth classification of 1-resonant vector fields on ?3
• Equivalence and Decomposition of Vector Fields About an Elementary Critical Point

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