Theory of invariant manifold and foliation and uniqueness of center manifold dynamics

DOI10.1007/s10884-023-10265-3OpenAlexW4367297972MaRDI QIDQ6182563

Bo Deng

Publication date: 21 December 2023

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-023-10265-3

zbMATH Keywords

center manifoldcontraction mapping theoremsmooth conjugacyinvariant foliationvariation of parameters formula

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Invariant manifold theory for dynamical systems (37D10) Symmetries and invariants of dynamical systems (37C79)

Cites Work

• Invariant manifolds for flows in Banach spaces
• Center manifolds and contractions on a scale of Banach spaces
• Inertial manifolds for nonlinear evolutionary equations
• Geometric theory of semilinear parabolic equations
• Applications of centre manifold theory
• Geometric singular perturbation theory for ordinary differential equations
• Smooth invariant foliations in infinite dimensional spaces
• Structural stability for scalar parabolic equations
• Conjugate dynamics on center-manifolds for stochastic partial differential equations
• Invariant manifolds and foliations for random differential equations driven by colored noise
• Smoothness of invariant manifolds and foliations for infinite dimensional random dynamical systems
• The stable, center-stable, center, center-unstable, unstable manifolds
• Homoclinic Bifurcations with Nonhyperbolic Equilibria
• C^k centre unstable manifolds
• Properties of Center Manifolds
• Smooth conjugacy of centre manifolds
• Probleme General de la Stabilite du Mouvement. (AM-17)
• Invariant manifolds
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