Topological decoupling, linearization and perturbation on inhomogeneous time scales

DOI10.1016/j.jde.2008.06.011zbMath1190.34120OpenAlexW2034050899MaRDI QIDQ942181

Christian Poetzsche

Publication date: 4 September 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.06.011

zbMATH Keywords

Time scalePerturbationDiscretizationInvariant fiber bundlesInvariant foliationsTopological decouplingTopological linearization

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Perturbations of ordinary differential equations (34D10) Invariant manifold theory for dynamical systems (37D10) Dynamic equations on time scales or measure chains (34N05)

Related Items (15)

Bounded solutions and Hyers–Ulam stability of quasilinear dynamic equations on time scales ⋮ Topological decoupling and linearization of nonautonomous evolution equations ⋮ Extended hierarchies of invariant fiber bundles for dynamic equations on measure chains ⋮ Linearization of a nonautonomous unbounded system with hyperbolic linear part: a spectral approach ⋮ Necessary and sufficient criteria for the existence of exponential dichotomy on time scales ⋮ Function series theory of time scales ⋮ Is the Sacker–Sell type spectrum equal to the contractible set? ⋮ Normal forms, holomorphic linearization and generic bifurcations of dynamic equations on discrete time scales ⋮ Nonlinear perturbations of nonuniform exponential dichotomy on measure chains ⋮ On the connected stability of the large-scale systems of dynamical equations on the time scale in critical cases ⋮ On the topological classification of dynamic equations on time scales ⋮ Boundness and linearisation of a class of differential equations with piecewise constant argument ⋮ Existence and roughness of exponential dichotomies of linear dynamic equations on time scales ⋮ Hölder regularity of Grobman-Hartman theorem for dynamic equations on measure chains ⋮ New results on linearization of differential equations with piecewise constant argument

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