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Ultima descărcare din IBN: 2024-02-16 15:22 |
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517.938+517.977 (1) |
Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243) |
SM ISO690:2012 CHEBAN, David. Poisson Stable Motions and Global Attractors of Symmetric Monotone Nonautonomous Dynamical Systems. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2022, nr. 3(100), pp. 56-94. ISSN 1024-7696. DOI: https://doi.org/10.56415/basm.y2022.i3.p56 |
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
Numărul 3(100) / 2022 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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DOI:https://doi.org/10.56415/basm.y2022.i3.p56 | ||||||
CZU: 517.938+517.977 | ||||||
Pag. 56-94 | ||||||
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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 di®erent classes of Poisson stable solutions and global attractors for a chemical reaction network and nonautonomous translation-invariant di®erence equations. |
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Cuvinte-cheie Poisson stable motions, compact global attractor, monotone nonautonomous dynamical systems, translation-invariant dynamical systems |
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