Linearization of resonant vector fields

DOI10.1090/S0002-9947-2010-04978-5zbMath1221.32015MaRDI QIDQ3065747

J. Basto-Gonçalves

Publication date: 6 January 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

linearizationresonancesformal normal forms

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Singularities of holomorphic vector fields and foliations (32S65)

Related Items (5)

Linearizability of homogeneous quartic polynomial systems with \(1:-2\) resonance ⋮ Nijenhuis geometry. II: Left-symmetric algebras and linearization problem for Nijenhuis operators ⋮ Splitting theorems for Poisson and related structures ⋮ Singularities of the geodesic flow on surfaces with pseudo-Riemannian metrics ⋮ Unnamed Item

Cites Work

• Unnamed Item
• \(C^ k\)-conjugacy of holomorphic flows near a singularity
• Normal forms and linearization of resonant vector fields with multiple eigenvalues
• 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
• The topology of holomorphic flows with singularity
• Polynomial normal forms for vector fields on \(\mathbf R^3\)
• Analytic linearizability of some resonant vector fields
• On the Structure of Local Homeomorphisms of Euclidean n-Space, II
• Smooth Linearization Near a Fixed Point
• Equivalence and Decomposition of Vector Fields About an Elementary Critical Point

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