On invariant manifolds and invariant foliations without a spectral gap

DOI10.1016/j.aim.2016.08.027zbMath1366.37069OpenAlexW2516839422MaRDI QIDQ323685

WenMeng Zhang, Wei Nian Zhang

Publication date: 10 October 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2016.08.027

zbMATH Keywords

invariant manifoldspectral gap conditioninvariant foliationSchauder-Tychonoff's fixed point theoremunipotent linear part

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Stability theory for smooth dynamical systems (37C75)

Related Items

Linearization and invariant manifolds on the carrying simplex for competitive maps, Differentiable invariant manifolds of nilpotent parabolic points

Cites Work

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• Invariant manifolds for flows in Banach spaces
• Bifurcation of a homoclinic orbit with a saddle-node equilibrium
• Geometric singular perturbation theory for ordinary differential equations
• A Hartman-Grobman theorem for scalar reaction-diffusion equations
• Smooth invariant foliations in infinite dimensional spaces
• Elements of applied bifurcation theory.
• Invariant foliations for \(C^1\) semigroups in Banach spaces
• \(\sigma\)-Hölder continuous linearization near hyperbolic fixed points in \(\mathbb{R}^n\)
• Invariant foliations for parabolic equations
• Lectures on partial hyperbolicity and stable ergodicity
• On Irwin's proof of the pseudostable manifold theorem
• Sharp regularity of linearization for \(C^{1,1}\) hyperbolic diffeomorphisms
• The stable, center-stable, center, center-unstable, unstable manifolds
• -Hölder linearization of hyperbolic diffeomorphisms with resonance
• Homoclinic Bifurcations with Nonhyperbolic Equilibria
• Smooth conjugacy of centre manifolds
• Existence and persistence of invariant manifolds for semiflows in Banach space
• Invariant foliations near normally hyperbolic invariant manifolds for semiflows
• Differentiable dynamical systems
• Invariant manifolds
• Foliations