Geodesic
A Finite-time Condition for Exponential Trichotomy in Infinite Dynamical Systems
Canadian journal of mathematics, Tome 67 (2015) no. 5, pp. 1065-1090

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DOI

In this article we study exponential trichotomy for infinite dimensional discrete time dynamical systems. The goal of this article is to prove that finite time exponential trichotomy conditions allow us to derive exponential trichotomy for arbitrary times. We present an application to the case of pseudo orbits in some neighborhood of a normally hyperbolic set.
DOI : 10.4153/CJM-2014-023-3
Mots-clés : 34D09, 34A10, exponential trichotomy, exponential dichotomy, discrete time dynamical systems, differenceequations 
Ducrot, Arnaud; Magal, Pierre; Seydi, Ousmane. A Finite-time Condition for Exponential Trichotomy in Infinite Dynamical Systems. Canadian journal of mathematics, Tome 67 (2015) no. 5, pp. 1065-1090. doi: 10.4153/CJM-2014-023-3
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     author = {Ducrot, Arnaud and Magal, Pierre and Seydi, Ousmane},
     title = {A {Finite-time} {Condition} for {Exponential} {Trichotomy} in {Infinite} {Dynamical} {Systems}},
     journal = {Canadian journal of mathematics},
     pages = {1065--1090},
     year = {2015},
     volume = {67},
     number = {5},
     doi = {10.4153/CJM-2014-023-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2014-023-3/}
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