Ivanov's Theorem for Admissible Pairs Applicable to Impulsive Differential Equations and Inclusions on Tori

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73602185" target="_blank" >RIV/61989592:15310/20:73602185 - isvavai.cz</a>
Výsledek na webu
<a href="https://www.mdpi.com/2227-7390/8/9/1602/htm" target="_blank" >https://www.mdpi.com/2227-7390/8/9/1602/htm</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/math8091602" target="_blank" >10.3390/math8091602</a>

Jazyk výsledku
angličtina
Název v původním jazyce
Ivanov's Theorem for Admissible Pairs Applicable to Impulsive Differential Equations and Inclusions on Tori
Popis výsledku v původním jazyce
The main aim of this article is two-fold: (i) to generalize into a multivalued setting the classical Ivanov theorem about the lower estimate of a topological entropy in terms of the asymptotic Nielsen numbers, and (ii) to apply the related inequality for admissible pairs to impulsive differential equations and inclusions on tori. In case of a positive topological entropy, the obtained result can be regarded as a nontrivial contribution to deterministic chaos for multivalued impulsive dynamics.
Název v anglickém jazyce
Ivanov's Theorem for Admissible Pairs Applicable to Impulsive Differential Equations and Inclusions on Tori
Popis výsledku anglicky
The main aim of this article is two-fold: (i) to generalize into a multivalued setting the classical Ivanov theorem about the lower estimate of a topological entropy in terms of the asymptotic Nielsen numbers, and (ii) to apply the related inequality for admissible pairs to impulsive differential equations and inclusions on tori. In case of a positive topological entropy, the obtained result can be regarded as a nontrivial contribution to deterministic chaos for multivalued impulsive dynamics.

Rok uplatnění
2020
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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