Journal of Dynamical and Control Systems

, Volume 22, Issue 3, pp 595–614 | Cite as

Sternberg Linearization Theorem for Skew Products

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Abstract

We present a special kind of normalization theorem: linearization theorem for skew products. The normal form is a skew product again, with the fiber maps linear. It appears that even in the smooth case, the conjugacy is only Hölder continuous with respect to the base. The normalization theorem mentioned above may be applied to perturbations of skew products and to the study of new persistent properties of attractors.

Keywords

Normal forms Skew products Sternberg theorem 

Mathematics Subject Classification (2010)

37G05 37D30 

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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.National Research University Higher School of EconomicsMoscowRussia
  2. 2.Cornell UniversityIthacaUSA
  3. 3.Independent University of MoscowMoscowRussia
  4. 4.École Normale Supérieure de LyonLyonFrance

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