scholarly journals Discrete admissibility and exponential trichotomy of dynamical systems

2014 ◽  
Vol 34 (7) ◽  
pp. 2929-2962 ◽  
Author(s):  
Adina Luminiţa Sasu ◽  
◽  
Bogdan Sasu
Keyword(s):  
Dynamical Systems ◽  
Exponential Trichotomy

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

2015 ◽  
Vol 67 (5) ◽  
pp. 1065-1090 ◽  
Author(s):  
Arnaud Ducrot ◽  
Pierre Magal ◽  
Ousmane Seydi
Keyword(s):  
Dynamical Systems ◽  
Discrete Time ◽  
Finite Time ◽  
Time Condition ◽  
Infinite Dimensional ◽  
Hyperbolic Set ◽  
Exponential Trichotomy ◽  
Discrete Time Dynamical Systems

AbstractIn 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.

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