Robustness of discrete dynamics via Lyapunov sequences

DOI10.1007/S00220-009-0762-ZzbMath1206.39006OpenAlexW2072403966MaRDI QIDQ1048044

Luis Barreira, Claudia Valls

Publication date: 11 January 2010

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-009-0762-z

zbMATH Keywords

robustnesscontractionexponential dichotomydiscrete dynamicsdiscrete timehyperbolicitynonuniformLyapunov sequence

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Stability theory for smooth dynamical systems (37C75)

Related Items (5)

Admissibility and roughness of nonuniform exponential dichotomies for difference equations ⋮ Robustness of nonuniform behavior for discrete dynamics ⋮ Asymptotic stability of nonuniform behaviour ⋮ Unnamed Item ⋮ Quaternionic exponentially dichotomous operators through \(S\)-spectral splitting and applications to Cauchy problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability by Liapunov's direct method. With applications
• Stability theory and Lyapunov regularity
• Robustness of nonuniform exponential dichotomies in Banach spaces
• Geometric theory of semilinear parabolic equations
• Dichotomies in stability theory
• Robustness of exponential dichotomies in infinite-dimensional dynamical systems
• Existence and roughness of the exponential dichotomy for skew-product semiflow in Banach spaces
• Sets of ``non-typical points have full topological entropy and full Hausdorff dimension
• Stability of nonautonomous differential equations
• Dichotomies and reducibility
• Linear differential equations and functional analysis. I
• Exponential dichotomy roughness on Banach spaces
• Admissible perturbations of exponential dichotomy roughness
• Dynamics of evolutionary equations

This page was built for publication: Robustness of discrete dynamics via Lyapunov sequences