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Center manifolds and optimal estimates

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Publication:2015000
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DOI10.1007/s10231-012-0285-7zbMath1353.37038OpenAlexW2086595034MaRDI QIDQ2015000

Claudia Valls, Luis Barreira

Publication date: 18 June 2014

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-012-0285-7

zbMATH Keywords

center manifoldsoptimal estimatesnonuniform exponential trichotomies


Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Topological dynamics of nonautonomous systems (37B55)




Cites Work

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  • A reduction principle for nonautonomous systems in infinite-dimensional spaces
  • Center manifolds and contractions on a scale of Banach spaces
  • Geometric theory of semilinear parabolic equations
  • Applications of centre manifold theory
  • Center manifolds for infinite dimensional nonautonomous differential equations
  • Center manifolds for invariant sets
  • Center manifolds for nonuniformly partially hyperbolic diffeomorphisms
  • On sequences of 𝐶^{𝑘,𝛿}_{𝑏} maps which converge in the uniform 𝐶⁰-norm
  • Center manifolds for smooth invariant manifolds
  • A Multivariate Faa di Bruno Formula with Applications
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