On the Hartman-Grobman theorem with parameters

DOI10.1007/s10884-010-9160-7zbMath1205.37037OpenAlexW2088870260MaRDI QIDQ607503

Hildebrando M. Rodrigues, Joan Solà-Morales

Publication date: 22 November 2010

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-010-9160-7

zbMATH Keywords

dynamical systemshyperbolicitylinearization in infinite dimensionsthe Hartman-Grobman theoremuniform dichotomy

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Dynamical systems with hyperbolic orbits and sets (37D05)

Related Items

The Hartman-Grobman theorem for semilinear hyperbolic evolution equations ⋮ Smooth dependence of nonautonomous linearization on parameters ⋮ Stability problems in nonautonomous linear differential equations in infinite dimensions ⋮ Dynamics of a class of ODEs more general than almost periodic ⋮ Differentiability with respect to parameters in global smooth linearization ⋮ On exponential decay and the Markus-Yamabe conjecture in infinite dimensions with applications to the Cima system ⋮ On Hölder dependence of the parameterized Hartman-Grobman theorem

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