Normal forms and linearization of resonant vector fields with multiple eigenvalues

DOI10.1016/J.JMAA.2004.06.065zbMath1077.34041OpenAlexW1972779042MaRDI QIDQ705309

J. Basto-Gonçalves, Ana Cristina Ferreira

Publication date: 26 January 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1822/11176

zbMATH Keywords

linearizationvector fieldnormal formresonance

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Normal forms for dynamical systems (37G05) Dynamics induced by flows and semiflows (37C10)

Related Items (1)

Linearization of resonant vector fields

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
• Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian
• Polynomial normal forms for vector fields on \(\mathbf R^3\)
• Smooth Linearization Near a Fixed Point
• EQUIVALENCE AND NORMAL FORMS OF GERMS OF SMOOTH MAPPINGS
• Equivalence and Decomposition of Vector Fields About an Elementary Critical Point

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