Chaos for Differential Equations with Multivalued Impulses
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Chaos for Differential Equations with Multivalued Impulses
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
ISSN
0218-1274
e-ISSN
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Volume of the periodical
31
Issue of the periodical within the volume
7
Country of publishing house
SG - SINGAPORE
Number of pages
16
Pages from-to
"2150113-1"-"2150113-16"
UT code for WoS article
000662881800009
EID of the result in the Scopus database
2-s2.0-85108188048