Pullback attractors via quasi-stability for non-autonomous lattice dynamical systems | Zendy

Radosław Czaja | Zendy

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

Author(s) -

Radosław Czaja

Publication year - 2021

Publication title -

discrete and continuous dynamical systems - 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.

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