Test for \(C^ 1\)-smooth linearization of an autonomous system in a neighborhood of a nondegenerate singular point

DOI10.1007/BF01158305zbMath0745.34032MaRDI QIDQ1814553

V. S. Samovol

Publication date: 25 June 1992

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

normal formnonlinear differential system\(C(\sup 1)\)-smooth linearization

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) General spectral theory of ordinary differential operators (34L05)

Related Items (2)

On a differentiable linearization theorem of Philip Hartman ⋮ Local contractions of Banach spaces and spectral gap conditions

Cites Work

• Invariant normal forms of formal series
• Smooth Linearization Near a Fixed Point
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