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A Finite-time Condition for Exponential Trichotomy in Infinite Dynamical Systems

  Published:2014-09-16
 Printed: Oct 2015
  • Arnaud Ducrot,
    Institut de Mathematiques de Bordeaux, Universite Bordeaux, 33000 Bordeaux, France
  • Pierre Magal,
    Institut de Mathematiques de Bordeaux, Universite Bordeaux, 33000 Bordeaux, France
  • Ousmane Seydi,
    Institut de Mathematiques de Bordeaux, Universite Bordeaux, 33000 Bordeaux, France
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Abstract

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 to derive exponential trichotomy for any times. We present an application to the case of pseudo orbits in some neighborhood of a normally hyperbolic set.
Keywords: exponential trichotomy, exponential dichotomy, discrete time dynamical systems, difference equations exponential trichotomy, exponential dichotomy, discrete time dynamical systems, difference equations
MSC Classifications: 34D09, 34A10 show english descriptions Dichotomy, trichotomy
unknown classification 34A10
34D09 - Dichotomy, trichotomy
34A10 - unknown classification 34A10
 

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