Theorem of Sternberg–Chen modulo the central manifold for Banach spaces

DOI10.1017/S0143385708000989zbMath1187.37029MaRDI QIDQ3650306

Victoria Rayskin

Publication date: 14 December 2009

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

fixed pointBanach spacenon-resonance conditionscentral manifold\( C^\infty\)-diffeomorphism

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

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Cites Work

• Linearization of class \(C^{1}\) for contractions on Banach spaces
• Invertible contractions and asymptotically stable ODE's that are not \({\mathcal C}^1\)-linearizable
• Sternberg's theorem for Banach spaces
• On the equivalence of families of local diffeomorphisms
• Local Contractions and a Theorem of Poincare
• FUNCTIONAL EQUATIONS AND LOCAL CONJUGACY OF MAPPINGS OF CLASS $C^{\infty}$
• Equivalence and Decomposition of Vector Fields About an Elementary Critical Point

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