Invariant manifolds for impulsive equations and nonuniform polynomial dichotomies

DOI10.1007/s10955-010-0043-4zbMath1216.34036OpenAlexW2025973112MaRDI QIDQ609628

Luis Barreira, Meng Fan, Claudia Valls, Ji-Min Zhang

Publication date: 1 December 2010

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-010-0043-4

zbMATH Keywords

invariant manifoldsperturbationsimpulsive differential equationLyapunov exponentpolynomial dichotomy

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Linear differential equations in abstract spaces (34G10) Invariant manifolds for ordinary differential equations (34C45) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items

Stable invariant manifolds with impulses and growth rates, Parameter dependence of stable manifolds for nonuniform \((\mu, \nu)\)-dichotomies, Nonuniform \((h,k,\mu,\nu)\)-dichotomy with applications to nonautonomous dynamical systems, Impulsive perturbations to differential equations: stable/unstable pseudo-manifolds, heteroclinic connections, and flux, NONLINEAR PERTURBATIONS FOR LINEAR NONAUTONOMOUS IMPULSIVE DIFFERENTIAL EQUATIONS AND NONUNIFORM (<i>H,K,µ,ν</i>)-DICHOTOMY, Robustness for linear evolution equations with non-instantaneous impulsive effects

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stable manifolds for impulsive equations under nonuniform hyperbolicity
• Polynomial growth rates
• Exponential dichotomy of linear impulsive differential equations in a Banach space
• Stable manifolds for nonuniform polynomial dichotomies
• Invariant manifolds, entropy and billiards; smooth maps with singularities. With the collab. of F. Ledrappier and F. Przytycki
• Characteristic exponents and invariant manifolds in Hilbert space
• Partial hyperbolicity, Lyapunov exponents and stable ergodicity
• Decay of correlations and dispersing billiards.
• Stability of nonautonomous differential equations
• FAMILIES OF INVARIANT MANIFOLDS CORRESPONDING TO NONZERO CHARACTERISTIC EXPONENTS
• Ergodic Attractors