Chaos for Differential Equations with Multivalued Impulses

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F21%3A73609728" target="_blank" >RIV/61989592:15310/21:73609728 - isvavai.cz</a>

Výsledek na webu

<a href="https://obd.upol.cz/id_publ/333189614" target="_blank" >https://obd.upol.cz/id_publ/333189614</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0218127421501133" target="_blank" >10.1142/S0218127421501133</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Chaos for Differential Equations with Multivalued Impulses

Popis výsledku v původním jazyce

The deterministic chaos in the sense of a positive topological entropy is investigated for differential equations with multivalued impulses. Two definitions of topological entropy are examined for three classes of multivalued maps: n-valued maps, R delta-maps and admissible maps in the sense of Gorniewicz. The principal tool for its lower estimates and, in particular, its positivity are the Ivanov-type inequalities in terms of the asymptotic Nielsen numbers. The obtained results are then applied to impulsive differential equations via the associated Poincare translation operators along their trajectories. The main theorems for chaotic differential equations with multivalued impulses are formulated separately on compact subsets of Euclidean spaces and on tori. Several illustrative examples are supplied.

Název v anglickém jazyce

Chaos for Differential Equations with Multivalued Impulses

Popis výsledku anglicky

The deterministic chaos in the sense of a positive topological entropy is investigated for differential equations with multivalued impulses. Two definitions of topological entropy are examined for three classes of multivalued maps: n-valued maps, R delta-maps and admissible maps in the sense of Gorniewicz. The principal tool for its lower estimates and, in particular, its positivity are the Ivanov-type inequalities in terms of the asymptotic Nielsen numbers. The obtained results are then applied to impulsive differential equations via the associated Poincare translation operators along their trajectories. The main theorems for chaotic differential equations with multivalued impulses are formulated separately on compact subsets of Euclidean spaces and on tori. Several illustrative examples are supplied.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

ISSN

0218-1274

e-ISSN

—

Svazek periodika

31

Číslo periodika v rámci svazku

7

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

16

Strana od-do

"2150113-1"-"2150113-16"

Kód UT WoS článku

000662881800009

EID výsledku v databázi Scopus

2-s2.0-85108188048