Open AccessPullback attractors via quasi-stability for non-autonomous lattice dynamical systems
Author(s) -
Radosław Czaja
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2021276
Subject(s) - pullback attractor , attractor , discretization , pullback , mathematics , lattice (music) , dynamical systems theory , exponential function , pure mathematics , mathematical analysis , physics , quantum mechanics , acoustics
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.