Slow and Fast Variables in Non-autonomous Difference Equations

DOI10.1080/1023619031000076542zbMath1044.39011OpenAlexW2167086180MaRDI QIDQ4456032

Christian Poetzsche

Publication date: 17 March 2004

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1023619031000076542

zbMATH Keywords

invariant manifoldsnon-autonomous difference equationsabstract integral manifold

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12)

Related Items (4)

Slow integral manifolds for Lagrangian fluid dynamics in unsteady geophysical flows ⋮ Discrete geometric singular perturbation theory ⋮ Exponential dichotomies of linear dynamic equations on measure chains under slowly varying coefficients. ⋮ Discretized fast-slow systems near transcritical singularities

Cites Work

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• A spectral theory for linear differential systems
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• On proving existence and smoothness of invariant manifolds in singular perturbation problem
• Singular perturbation for difference equations.
• Invariant manifolds and global error estimates of numerical integration schemes applied to stiff systems of singular perturbation type. I: RK- methods
• Singularly perturbed difference equations
• Invariant manifolds in singular perturbation problems for ordinary differential equations

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