Repozitorij Univerze v Novi Gorici

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Naslov:Weak forms of shadowing in topological dynamics
Avtorji:Kryzhevich, Sergey (Avtor)
Cherkashin, Danila (Avtor)
et al.
Datoteke:Gradivo nima datotek. Gradivo je morda fizično dosegljivo v knjižnici fakultete, zalogo lahko preverite v COBISS-u. Povezava se odpre v novem oknu
Jezik:Angleški jezik
Vrsta gradiva:Delo ni kategorizirano (r6)
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:UNG - Univerza v Novi Gorici
Opis:We consider continuous maps of compact metric spaces. It is proved that every pseudotrajectory with sufficiently small errors contains a subsequence of positive density that is point-wise close to a subsequence of an exact trajectory with the same indices. Also, we study homeomorphisms such that any pseudotrajectory can be shadowed by a finite number of exact orbits. In terms of numerical methods this property (we call it multishadowing) implies possibility to calculate minimal points of the dynamical system. We prove that for the non-wandering case multishadowing is equivalent to density of minimal points. Moreover, it is equivalent to existence of a family of $\varepsilon$-networks ($\varepsilon > 0$) whose iterations are also $\varepsilon$-networks. Relations between multishadowing and some ergodic and topological properties of dynamical systems are discussed.
Ključne besede:Topological dynamics, minimal points, invariant measure, shadowing, chain recurrence, $\varepsilon$-networks, syndetic sets
Leto izida:2017
Št. strani:26
Številčenje:online first
COBISS_ID:4868859  Povezava se odpre v novem oknu
DOI:http://dx.doi.org/10.12775/TMNA.2017.020 Povezava se odpre v novem oknu
Število ogledov:408
Število prenosov:0
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Področja:Gradivo ni uvrščeno v področja.
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Skupna ocena:(0 glasov)
Vaša ocena:Ocenjevanje je dovoljeno samo prijavljenim uporabnikom.

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Gradivo je del revije

Naslov:Topological Methods in Nonlinear Analysis
Založnik:Nicolaus Copernicus University in Torun, Juliusz Schauder Centre for Nonlinear Studies
ISSN:1230-3429
Leto izida:2017

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