Center manifolds for difference equations-smooth parameter dependence

DOI10.1016/j.na.2010.04.012zbMath1202.37026OpenAlexW2033255818MaRDI QIDQ984045

Luis Barreira, Claudia Valls

Publication date: 13 July 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.04.012

zbMATH Keywords

center manifolddifference equation

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (2)

A Zabczyk type method for the study of the exponential trichotomy of discrete dynamical systems ⋮ Nonlinear discrete boundary value problems for the discrete \(p\)-Laplacian with potential term

Cites Work

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• Center manifolds and contractions on a scale of Banach spaces
• Applications of centre manifold theory
• Center manifolds for infinite dimensional nonautonomous differential equations
• Center manifolds for invariant sets
• Smooth center manifolds for nonuniformly partially hyperbolic trajectories
• Stability of nonautonomous differential equations
• The stable, center-stable, center, center-unstable, unstable manifolds
• FAMILIES OF INVARIANT MANIFOLDS CORRESPONDING TO NONZERO CHARACTERISTIC EXPONENTS
• Center manifolds for smooth invariant manifolds

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