Equivalent notions of hyperbolicity

DOI10.1080/14689367.2019.1702923zbMath1455.37030OpenAlexW2995552443WikidataQ126591966 ScholiaQ126591966MaRDI QIDQ3298339

Claudia Valls, Luis Barreira

Publication date: 14 July 2020

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

Full work available at URL: https://doi.org/10.1080/14689367.2019.1702923

zbMATH Keywords

cocycleshyperbolicityexponential dichotomies

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems with hyperbolic orbits and sets (37D05) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Nonautonomous smooth dynamical systems (37C60)

Related Items (1)

Hyperbolicity of delay equations via cocycles

Cites Work

• Robustness of nonuniform exponential dichotomies in Banach spaces
• Nonuniform behavior and robustness
• Geometric theory of semilinear parabolic equations
• Existence of dichotomies and invariant splittings for linear differential systems. I
• Theory of functional differential equations. 2nd ed
• A spectral theory for linear differential systems
• Dichotomies in stability theory
• Robustness of exponential dichotomies in infinite-dimensional dynamical systems
• Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
• Evolution semigroups, translation algebras, and exponential dichotomy of cocycles
• Stability of nonautonomous differential equations
• Dynamics of evolutionary equations
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