Normal forms for nonautonomous difference equations

DOI10.1016/S0898-1221(03)00085-3zbMath1055.39031MaRDI QIDQ1827165

Stefan Siegmund

Publication date: 6 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

numerical examplenonautonomous difference equationPoincaré normal form(non)resonancenonautonomous normal forms

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Discrete version of topics in analysis (39A12)

Related Items (7)

Normal forms via nonuniform hyperbolicity ⋮ Normal forms, holomorphic linearization and generic bifurcations of dynamic equations on discrete time scales ⋮ Polynomial and linearized normal forms for almost periodic differential systems ⋮ Dichotomy spectra of triangular equations ⋮ Normal forms for almost periodic differential systems ⋮ Formal and analytic normal forms for non-autonomous difference systems with uniform dichotomy spectrum ⋮ A Sternberg theorem for nonautonomous differential equations

Cites Work

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• Partially hyperbolic fixed points
• Local Contractions and a Theorem of Poincare
• On the Structure of Local Homeomorphisms of Euclidean n-Space, II
• The fundamental existence theorem on invariant fiber bundles
• Block Diagonalization of Linear Difference Equations
• The Structure of Local Homeomorphisms, III
• Dichotomy spectrum for nonautonomous differential equations

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