Robustness via Lyapunov functions

DOI10.1016/j.jde.2008.11.010zbMath1192.34063OpenAlexW2069214164MaRDI QIDQ1014730

Luis Barreira, Claudia Valls

Publication date: 29 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jde.2008.11.010

zbMATH Keywords

robustnessLyapunov functionsnonuniform hyperbolicity

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Linear ordinary differential equations and systems (34A30) Dichotomy, trichotomy of solutions to ordinary differential equations (34D09)

Related Items (5)

Nonuniform \((h,k,\mu,\nu)\)-dichotomy with applications to nonautonomous dynamical systems ⋮ A generalized nonuniform contraction and Lyapunov function ⋮ Lyapunov functions for general nonuniform dichotomies ⋮ Exponential dichotomies of evolution operators in Banach spaces ⋮ Robustness of noninvertible dichotomies

Cites Work

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• Stability by Liapunov's direct method. With applications
• Stability theory and Lyapunov regularity
• Robustness of nonuniform exponential dichotomies in Banach spaces
• Exponential dichotomies and homoclinic orbits in functional differential equations
• Geometric theory of semilinear parabolic equations
• Dichotomies in stability theory
• Robustness of exponential dichotomies in infinite-dimensional dynamical systems
• Exponential dichotomies and transversal homoclinic points
• The Fredholm alternative and exponential dichotomies for parabolic equation
• 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

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