A necessary and sufficient condition of smooth linearization of autonomous planar systems in a neighborhood of a critical point

DOI10.1007/BF01159105zbMath0715.34074MaRDI QIDQ752279

V. S. Samovol

Publication date: 1989

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

zbMATH Keywords

smooth linearization\(C^{\infty }\) ordinary differential equations

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)

Related Items (5)

Wild oscillations in a nonlinear neuron model with resets. II: Mixed-mode oscillations ⋮ On a differentiable linearization theorem of Philip Hartman ⋮ Quasi-linearization of parameter-depending germs of vector fields ⋮ On classification of the Poincaré type maps on \(\mathbb{R}^3\) ⋮ Normal forms for nonautonomous differential equations

Cites Work

• FOUNDATIONS OF ALGEBRAIC GEOMETRY
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