Nonuniform exponential dichotomies and Lyapunov regularity

DOI10.1007/s10884-006-9026-1zbMath1123.34040OpenAlexW2012406777MaRDI QIDQ2369891

Luis Barreira, Claudia Valls

Publication date: 21 June 2007

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

Full work available at URL: https://doi.org/10.1007/s10884-006-9026-1

zbMATH Keywords

exponential dichotomiesLyapunov regularity

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items

Stable manifolds for nonautonomous equations without exponential dichotomy, Smoothness of invariant manifolds for nonautonomous equations, Smooth center manifolds for nonuniformly partially hyperbolic trajectories, Non-zero Lyapunov exponents and Lyapunov's coefficient of regularity for flows, Topological conjugacies and behavior at infinity, Lyapunov regularity for random dynamical systems, Nonuniform \(\mu \)-dichotomy spectrum and kinematic similarity, Nonuniform dichotomy spectrum and normal forms for nonautonomous differential systems, Admissibility for nonuniform \((\mu,v)\) contraction and dichotomy, New class of perturbations for nonuniform exponential dichotomy roughness, Existence and roughness of nonuniform exponential dichotomies on time scales, Robustness of nonuniform exponential dichotomies in Banach spaces, An extension of some theorems of L. Barreira and C. Valls for the nonuniform exponential dichotomous evolution operators, Conjugacies for linear and nonlinear perturbations of nonuniform behavior, Nonuniform mean-square exponential dichotomies and mean-square exponential stability, Smooth invariant manifolds in Banach spaces with nonuniform exponential dichotomy, A Grobman--Hartman theorem for nonuniformly hyperbolic dynamics, Polynomial growth rates, Existence of nonuniform exponential dichotomies and a Fredholm alternative, Robustness for linear evolution equations with non-instantaneous impulsive effects, Robustness for non-instantaneous impulsive equations via quadratic Lyapunov functions, Stability of nonautonomous differential equations in Hilbert spaces, NONUNIFORM DICHOTOMY SPECTRUM INTERVALS: THEOREM AND COMPUTATION, From one-sided dichotomies to two-sided dichotomies

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stable manifolds for nonautonomous equations without exponential dichotomy
• Smoothness of invariant manifolds for nonautonomous equations
• Geometric theory of semilinear parabolic equations
• Existence of dichotomies and invariant splittings for linear differential systems. I
• Existence of dichotomies and invariant splittings for linear differential systems. III
• Existence of dichotomies and invariant splittings for linear differential systems. II
• Existence of dichotomies and invariant splittings for linear differential systems. IV
• Dichotomies in stability theory
• Dichotomies for linear evolutionary equations in Banach spaces
• Stability of nonautonomous differential equations in Hilbert spaces
• Dynamics of evolutionary equations