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On the \(C^{1}\) normal forms for hyperbolic vector fields

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Publication:1408202
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DOI10.1016/S1631-073X(03)00173-0zbMath1030.37015MaRDI QIDQ1408202

Jiazhong Yang, Zhi-hua Ren

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)


zbMATH Keywords

algebraic conditionsautonomous ordinary differential equationsgenericity conditionhyperbolic vector fields


Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Normal forms for dynamical systems (37G05) Dynamics induced by flows and semiflows (37C10) Dynamical systems with hyperbolic orbits and sets (37D05)


Related Items (1)

Global generic dynamics close to symmetry



Cites Work

  • On the Structure of Local Homeomorphisms of Euclidean n-Space, II
  • Linearization of hyperbolic resonant germs
  • The Structure of Local Homeomorphisms, III
  • Equivalence and Decomposition of Vector Fields About an Elementary Critical Point
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