Linearization of germs of hyperbolic vector fields.
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Publication:1871530
DOI10.1016/S1631-073X(02)00007-9zbMath1036.34044MaRDI QIDQ1871530
Patrick Bonckaert, Jiazhong Yang, Vincent Naudot
Publication date: 2003
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Normal forms for dynamical systems (37G05)
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Cites Work
- On the continuous dependence of the smooth change of coordinates in parametrized normal form theorems
- Smoothness property for bifurcation diagrams
- Asymptotic properties of the Dulac map near a hyperbolic saddle in dimension three
- Cyclicité finie des polycycles hyperboliques de champs de vecteurs du plan. Algorithme de finitude. (Finite cyclicity of hyperbolic polycycles of plane vector fields. Finiteness algorithm)
- On the Structure of Local Homeomorphisms of Euclidean n-Space, II
- EQUIVALENCE AND NORMAL FORMS OF GERMS OF SMOOTH MAPPINGS
- The Structure of Local Homeomorphisms, III
- Equivalence and Decomposition of Vector Fields About an Elementary Critical Point
- Invariant manifolds
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