Linearization of families of germs of hyperbolic vector fields

DOI10.1080/14689360802331162zbMath1159.34325OpenAlexW2060666321MaRDI QIDQ3548767

Vincent Naudot, Jiazhong Yang

Publication date: 17 December 2008

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360802331162

zbMATH Keywords

linearizationdifferential equationsnormalizationresonance

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) Equivalence and asymptotic equivalence of ordinary differential equations (34C41)

Related Items (4)

Properties of an optimal linearization transformation ⋮ Chaos near a resonant inclination-flip ⋮ Bifurcation Complexity from Orbit-Flip Homoclinic Orbit of Weak Type ⋮ Quasi-linearization of parameter-depending germs of vector fields

Cites Work

• Linearization of germs of hyperbolic vector fields.
• 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 number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
• Equivalence and Decomposition of Vector Fields About an Elementary Critical Point

This page was built for publication: Linearization of families of germs of hyperbolic vector fields