Dichotomy spectrum and almost topological conjugacy on nonautonomus unbounded difference systems

DOI10.3934/dcds.2018094zbMath1396.39014OpenAlexW2793410776WikidataQ130085666 ScholiaQ130085666MaRDI QIDQ1661063

Álvaro Castañeda, Gonzalo Robledo

Publication date: 16 August 2018

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2018094

zbMATH Keywords

spectrumdifference equationshyperbolicitytopological equivalence

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Stability theory for difference equations (39A30)

Related Items (7)

Topological equivalence of nonautonomous difference equations with a family of dichotomies on the half line ⋮ Multiscale linearization of nonautonomous systems ⋮ Linearization of a nonautonomous unbounded system with hyperbolic linear part: a spectral approach ⋮ Linearization of a nonautonomous unbounded system with nonuniform contraction: a spectral approach ⋮ Is the Sacker–Sell type spectrum equal to the contractible set? ⋮ Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations ⋮ Nonuniform almost reducibility of nonautonomous linear differential equations

Cites Work

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• Dichotomies in terms of Lyapunov functions for linear difference equations
• Hartman's linearization on nonautonomous unbounded system
• A characterization of exponential dichotomy in terms of topological equivalence
• A spectral theory for linear differential systems
• Dichotomies in stability theory
• Classification of linear time-varying difference equations under kinematic similarity
• A generalization of Hartman's linearization theorem
• Nonuniform dichotomy spectrum and reducibility for nonautonomous equations
• Generalized exponential behavior and topological equivalence
• Almost reducibility of linear difference systems from a spectral point of view
• Dichotomy spectra of triangular equations
• Nonautonomous dynamics with discrete time and topological equivalence
• The dichotomy spectrum for noninvertible systems of linear difference equations
• A topological equivalence result for a family of nonlinear difference systems having generalized exponential dichotomy
• Criteria for an exponential dichotomy of difference equations
• Block Diagonalization of Linear Difference Equations
• On a Theorem of P. Hartman

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