Invariant manifolds with asymptotic phase for nonautonomous difference equations

DOI10.1016/S0898-1221(03)00093-2zbMath1067.39031OpenAlexW2048511227MaRDI QIDQ1827196

Aulbach, Bernd, Christian Poetzsche

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/s0898-1221(03)00093-2

zbMATH Keywords

reducibilityexponential trichotomyinvariant manifoldnonautonomous difference equationasymptotic phase

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Invariant manifold theory for dynamical systems (37D10)

Related Items (1)

Bernd Aulbach—Obituary

Cites Work

• A smoothness theorem for invariant fiber bundles
• Continuous and discrete dynamics near manifolds of equilibria
• Behavior of solutions near manifolds of periodic solutions
• Manifolds, tensor analysis, and applications.
• \((h,k)\)-trichotomies and asymptotics of nonautonomous difference systems
• On \((h,k)\) manifolds with asymptotic phase
• Classification of linear time-varying difference equations under kinematic similarity
• Invariant manifolds with asymptotic phase

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