Lyapunov functions versus exponential contractions

DOI10.1007/s00209-010-0665-xzbMath1330.34098OpenAlexW2104895879MaRDI QIDQ543317

Claudia Valls, Luis Barreira

Publication date: 17 June 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-010-0665-x

zbMATH Keywords

Lyapunov functionsexponential contractionslinear equation in Banach space

Mathematics Subject Classification ID

Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Linear differential equations in abstract spaces (34G10) Stability theory for smooth dynamical systems (37C75)

Related Items

A generalized nonuniform contraction and Lyapunov function

Cites Work

• Stability of nonautonomous equations and Lyapunov functions
• Stability by Liapunov's direct method. With applications
• Dichotomies in stability theory
• Stability of nonautonomous differential equations
• Optimal estimates along stable manifolds of non-uniformly hyperbolic dynamics
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