Long-Time Behavior for Second Order Lattice Dynamical Systems

2008 ◽  
Vol 106 (1) ◽  
pp. 47-59 ◽  
Author(s):  
Ahmed Y. Abdallah
Keyword(s):  
Dynamical Systems ◽  
Second Order ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Lattice Dynamical Systems ◽  
Long Time

scholarly journals Pullback attractors via quasi-stability for non-autonomous lattice dynamical systems

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Radosław Czaja
Keyword(s):  
Dynamical Systems ◽  
Global Attractor ◽  
Exponential Attractor ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Pullback Attractors ◽  
Diffusion Operator ◽  
First Order ◽  
Lattice Dynamical Systems ◽  
Long Time

<p style='text-indent:20px;'>In this paper we study long-time behavior of first-order non-autono-mous lattice dynamical systems in square summable space of double-sided sequences using the cooperation between the discretized diffusion operator and the discretized reaction term. We obtain existence of a pullback global attractor and construct pullback exponential attractor applying the introduced notion of quasi-stability of the corresponding evolution process.</p>

Sign in / Sign up

Export Citation Format

Share Document