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Normal hyperbolicity and linearisability

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Publication:1089659
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DOI10.1007/BF01389422zbMath0619.58033MaRDI QIDQ1089659

Sebastian J. van Strien

Publication date: 1987

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143425

zbMATH Keywords

diffeomorphismnormal hyperbolicity


Mathematics Subject Classification ID

Dynamical systems with hyperbolic behavior (37D99)


Related Items

Linearization in the large of nonlinear systems and Koopman operator spectrum, Singularities of vector fields on ℝ3 determined by their first non-vanishing jet, Conjugacy of normally tangent diffeomorphisms: A tool for treating moduli of stability, Smooth linearization of hyperbolic fixed points without resonance conditions



Cites Work

  • Unnamed Item
  • Bifurcations and stability of families of diffeomorphisms
  • The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
  • Topological equivalence of normally hyperbolic dynamical systems
  • Bifurcations of topological type at singular points of parametrized vector fields
  • Linearization of normally hyperbolic diffeomorphisms and flows
  • A structural stability theorem
  • Persistent manifolds are normally hyperbolic
  • Invariant manifolds
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