Properties of an optimal linearization transformation

DOI10.1080/14689367.2012.691962zbMath1282.34046OpenAlexW2009379173MaRDI QIDQ4648498

David Siegel, Matt S. Calder

Publication date: 9 November 2012

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

Full work available at URL: https://doi.org/10.1080/14689367.2012.691962

zbMATH Keywords

iterationasymptotic solutionconjugacyflowsink

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) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

• Unnamed Item
• Local \(C^n\) transformations of the real line
• On the size of the domain of linearization in Hartman's theorem
• Linearization of vector fields near resonant hyperbolic rest points
• Local Contractions and a Theorem of Poincare
• On the Structure of Local Homeomorphisms of Euclidean n-Space, II
• Linearization of families of germs of hyperbolic vector fields
• A Multivariate Faa di Bruno Formula with Applications
• The Structure of Local Homeomorphisms, III

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