Enviar artigo por via de e-mail On a paradoxical property of the shifting mapping on an infinite-dimensional tori
- Autores: Glyzin S.D.1, Kolesov A.Y.1
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Afiliações:
- Center of Integrable Systems, P.G. Demidov Yaroslavl State University
- Edição: Volume 515, Nº 1 (2024)
- Páginas: 28-33
- Seção: MATHEMATICS
- URL: https://rjeid.com/2686-9543/article/view/647916
- DOI: https://doi.org/10.31857/S2686954324010041
- EDN: https://elibrary.ru/ZTWIWM
- ID: 647916
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Resumo
An infinite-dimensional torus T∞=lp/2πZ∞, where lp, p ≥ 1 – space of sequences, Z∞ – natural integer lattice in lp, is considered. We study the classical question in the theory of dynamical systems about the behavior of trajectories of a shift mapping on the specified torus. More precisely, some sufficient conditions are proposed that guarantee the emptiness of the ω-limit and α-limit sets of any of the shift mapping onto T∞.
Sobre autores
S. Glyzin
Center of Integrable Systems, P.G. Demidov Yaroslavl State University
Autor responsável pela correspondência
Email: glyzin.s@gmail.com
Rússia, Yaroslavl
A. Kolesov
Center of Integrable Systems, P.G. Demidov Yaroslavl State University
Email: andkolesov@mail.ru
Rússia, Yaroslavl
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