Simple examples of planar involutions with non-global Montgomery-Bochner linearizations

DOI10.1016/j.aml.2012.05.004zbMath1278.37029OpenAlexW2023195532MaRDI QIDQ714528

Armengol Gasull, Francesc Mañosas, Anna Cima

Publication date: 11 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.05.004

zbMATH Keywords

linearizationinvolutionsperiodic mapsMontgomery-Bochner theorem

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (4)

An eigenvalue condition and the equivalence of two-dimensional maps ⋮ On global linearization of planar involutions ⋮ Different Approaches to the Global Periodicity Problem ⋮ Smooth linearisation of planar periodic maps

Cites Work

• Global linearization of periodic difference equations
• The theorem of Kerékjártó on periodic homeomorphisms of the disc and the sphere
• Injectivity of polynomial local homeomorphisms of Rn

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