The Hartman-Grobman theorem for reversible systems on Banach spaces

DOI10.1007/BF02678089zbMath0884.58082OpenAlexW2071150823MaRDI QIDQ1356126

O. Diekmann

Publication date: 14 December 1997

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02678089

zbMATH Keywords

symmetryreversible systemsHartman-Grobman theorem

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Perturbations of ordinary differential equations (34D10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (6)

Linearization of class \(C^{1}\) for contractions on Banach spaces ⋮ On the Hartman-Grobman theorem with parameters ⋮ Evolution groups and reversibility ⋮ Reversibility of conjugacies for nonautonomous equations ⋮ Generalized involutive symmetry and its application in integrability of differential systems ⋮ An invertible contraction that is not \(C^1\)-linearizable

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