Simple proofs and extensions of a result of L. D. Pustylnikov on the nonautonomous Siegel theorem

DOI10.1134/S1560354717060053zbMath1385.37022OpenAlexW2772545992WikidataQ113782163 ScholiaQ113782163MaRDI QIDQ1702807

Rafael de la Llave

Publication date: 28 February 2018

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354717060053

zbMATH Keywords

scattering theoryimplicit function theoremnonautonomous linearization

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Topological dynamics of nonautonomous systems (37B55) Nonautonomous smooth dynamical systems (37C60) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Related Items (1)

Uniform boundedness of iterates of analytic mappings implies linearization: a simple proof and extensions

Cites Work

• The scattering matrix and associated formulas in Hamiltonian mechanics
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