Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Poisson Stable Motions and Global Attractors of Symmetric Monotone Nonautonomous Dynamical Systems
Authors: David Cheban
Keywords: Poisson stable motions, compact global attractor, monotone nonautonomous dynamical systems, translation-invariant dynamical systems
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Keywords: Poisson stable motions, compact global attractor, monotone nonautonomous dynamical systems, translation-invariant dynamical systems
Abstract
This paper is dedicated to the study of the problem of existence of Poisson stable (Bohr/Levitan almost periodic, almost automorphic, almost recurrent, recurrent, pseudo-periodic, pseudo-recurrent and Poisson stable) motions of symmetric monotone non-autonomous dynamical systems (NDS). It is proved that every precompact motion of such system is asymptotically Poisson stable. We give also the description of the structure of compact global attractor for monotone NDS with symmetry. We establish the main results in the framework of general non-autonomous (cocycle) dynamical systems. We apply our general results to the study of the problem of existence of different classes of Poisson stable solutions and global attractors for a chemical reaction network and nonautonomous translation-invariant difference equations.State University of Moldova
Faculty of Mathematics and Computer Science
Laboratory "Fundamental and Applied
Mathematics"
A. Mateevich Street 60
MD{2009 Chisinau, Moldova
Faculty of Mathematics and Computer Science
Laboratory "Fundamental and Applied
Mathematics"
A. Mateevich Street 60
MD{2009 Chisinau, Moldova
DOI
https://doi.org/10.56415/basm.y2022.i3.p56Fulltext
– 0.33 Mb
Contents
- Some integrals for groups of bounded linear operators on finite-dimensional non-Archimedean Banach spaces
- A fixed point theorem for p-contraction mappings in partially ordered metric spaces and application to ordinary differential equations
- Optimal control of jump-diffusion processes with random parameters
- A self-similar solution for the two-dimensional Broadwell system via the Bateman equation
- Construction of medial ternary self-orthogonal quasigroups
- Poisson Stable Motions and Global Attractors of Symmetric Monotone Nonautonomous Dynamical Systems
