Tempered exponential dichotomies: admissibility and stability under perturbations

DOI10.1080/14689367.2016.1159663zbMath1370.37106OpenAlexW2306556991MaRDI QIDQ5506793

Claudia Valls, Davor Dragičević, Luis Barreira

Publication date: 16 December 2016

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2016.1159663

zbMATH Keywords

robustnessconjugacytempered exponential dichotomy

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamics induced by flows and semiflows (37C10) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Generic properties, structural stability of dynamical systems (37C20) Stability theory for smooth dynamical systems (37C75)

Related Items

Bohl–Perron theorem for random dynamical systems, Extending some results of L. Barreira and C. Valls to the case of linear skew-product semiflows, On the linearization of infinite‐dimensional random dynamical systems, On spectral characterization of nonuniform hyperbolicity, Measurable weighted shadowing for random dynamical systems on Banach spaces, On the robustness property of nonuniform exponential dichotomies, Tempered exponential dichotomies for linear random evolution equations, One admissible critical pair without Lyapunov norm implies a tempered exponential dichotomy for Met-systems, New conditions for (non)uniform behaviour of linear cocycles over flows, A Rolewicz-type characterization of nonuniform behaviour, The effect of a small bounded noise on the hyperbolicity for autonomous semilinear differential equations, Datko-Pazy conditions for nonuniform exponential stability, Permanence of nonuniform nonautonomous hyperbolicity for infinite-dimensional differential equations

Cites Work

• Robustness of nonuniform exponential dichotomies in Banach spaces
• Roughness of tempered exponential dichotomies for infinite-dimensional random difference equations
• Characterization of strong exponential dichotomies
• Exponential dichotomy of evolution equations and admissibility of function spaces on a half-line
• On a theorem of Anosov
• Dichotomies for linear difference equations
• Exponential dichotomy roughness on Banach spaces
• Characterization of hyperbolicity and generalized shadowing lemma
• Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space
• FAMILIES OF INVARIANT MANIFOLDS CORRESPONDING TO NONZERO CHARACTERISTIC EXPONENTS
• On a Theorem of P. Hartman