Parameter dependence of stable manifolds under nonuniform hyperbolicity

DOI10.1016/j.jmaa.2009.05.015zbMath1177.37031OpenAlexW2070767624MaRDI QIDQ2389269

Claudia Valls, Luis Barreira

Publication date: 15 July 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.05.015

zbMATH Keywords

hyperbolic systemsexponential dichotomystable manifolds

Mathematics Subject Classification ID

Stability theory for smooth dynamical systems (37C75)

Related Items

Parameter dependence of stable manifolds for nonuniform \((\mu, \nu)\)-dichotomies, Nonuniform \((h,k,\mu,\nu)\)-dichotomy with applications to nonautonomous dynamical systems, Smooth invariant manifolds for differential equations with infinite delay, Parameter dependence of stable manifolds for delay equations with polynomial dichotomies, Stable manifolds for delay equations and parameter dependence, Unnamed Item

Cites Work

• Stable manifolds for nonautonomous equations without exponential dichotomy
• Smoothness of invariant manifolds for nonautonomous equations
• Ergodic theory of differentiable dynamical systems
• Characteristic exponents and invariant manifolds in Hilbert space
• Stability of nonautonomous differential equations
• Smooth invariant manifolds in Banach spaces with nonuniform exponential dichotomy
• FAMILIES OF INVARIANT MANIFOLDS CORRESPONDING TO NONZERO CHARACTERISTIC EXPONENTS
• Ergodic Attractors
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