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Dichotomy spectrum and almost topological conjugacy on nonautonomus unbounded difference systems

Castañeda González, Alvaro et al · American Institute of Mathematical Sciences · 2018

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Author / responsible party
Castañeda González, Alvaro et al
Publisher
American Institute of Mathematical Sciences
Year
2018
ISSN
1078-0947
ISSN
1078-0947
Language
English

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We construct a bijection between the solutions of a linear system of nonautonomous difference equations which is uniformly asymptotically stable and its unbounded perturbation. The key idea used to made this bijection is to consider the crossing times of the solutions with the unit sphere. This approach prompt us to introduce the concept of almost topological conjugacy in this nonautonomous framework. This task is carried out by simplifying both systems through a spectral approach of the notion of almost reducibility combined with suitable technical assumptions. MATHAMSUD cooperation program 16-MATH-04 STADE ; FONDECYT 1170968

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APA 7

Castañeda González, A. E. A. (2018). Dichotomy spectrum and almost topological conjugacy on nonautonomus unbounded difference systems. https://doi.org/10.3934/dcds.2018094

MLA

Castañeda González, Alvaro et al. "Dichotomy spectrum and almost topological conjugacy on nonautonomus unbounded difference systems." 2018. https://doi.org/10.3934/dcds.2018094.

Chicago

Castañeda González, Alvaro et al. 2018. "Dichotomy spectrum and almost topological conjugacy on nonautonomus unbounded difference systems.". https://doi.org/10.3934/dcds.2018094.

Harvard

Castañeda González, A. E. A. 2018, Dichotomy spectrum and almost topological conjugacy on nonautonomus unbounded difference systems, American Institute of Mathematical Sciences, available at: https://doi.org/10.3934/dcds.2018094 [Accessed 6 Aug. 2026].

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Title
Dichotomy spectrum and almost topological conjugacy on nonautonomus unbounded difference systems
Author / contributors
Castañeda González, Alvaro et al
Publisher
American Institute of Mathematical Sciences
Publication year
2018
ISSN
1078-0947
ISSN
1078-0947
Language
English

Subjects

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Nonautonomus hyperbolicity; Sacker & sell's spectrum; Topological equivalence; Difference equations; Global linearization
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