NONUNIFORM EXPONENTIAL BEHAVIOUR AND TOPOLOGICAL EQUIVALENCE

DOI10.1017/S0017089515000191zbMath1356.37033OpenAlexW2326794871MaRDI QIDQ2806135

Claudia Valls, Luis Barreira, Liviu Horia Popescu

Publication date: 13 May 2016

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089515000191

zbMATH Keywords

ergodic theorytopological equivalencedichotomies

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Cites Work

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• Geometric theory of semilinear parabolic equations
• The structurally stable linear systems on the half-line are those with exponential dichotomies
• A topological classification of linear differential equations on Banach spaces
• Sets of ``non-typical points have full topological entropy and full Hausdorff dimension
• Stability of nonautonomous differential equations
• Conjugacies for linear and nonlinear perturbations of nonuniform behavior
• A general model of evolutionary processes. Exponential dichotomy—I

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