A renormalization proof of Siegel's theorem

DOI10.1088/0951-7715/7/3/010zbMath0803.34023OpenAlexW1987904994MaRDI QIDQ4299203

Andreas Stirnemann

Publication date: 18 December 1994

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/7/3/010

zbMATH Keywords

renormalizationrotation numberstable manifold theoremKAM varietynecklace constructionone-dimensional version of Siegel's theorem

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Perturbations of ordinary differential equations (34D10) Stability theory for smooth dynamical systems (37C75) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items (2)

Combination laws for scaling exponents and relation to the geometry of renormalization operators ⋮ Boundaries of Siegel disks: Numerical studies of their dynamics and regularity

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