Topological Chaos for Differential Inclusions with Multivalued Impulses on Tori
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F21%3A73609729" target="_blank" >RIV/61989592:15310/21:73609729 - isvavai.cz</a>
Result on the web
<a href="https://obd.upol.cz/id_publ/333189615" target="_blank" >https://obd.upol.cz/id_publ/333189615</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0218127421502370" target="_blank" >10.1142/S0218127421502370</a>
Alternative languages
Result language
angličtina
Original language name
Topological Chaos for Differential Inclusions with Multivalued Impulses on Tori
Original language description
A multivalued version of the Ivanov inequality for the lower estimate of topological entropy of admissible maps is applied to differential inclusions with multivalued impulses on tori via the associated Poincare translation operators along their trajectories. The topological chaos in the sense of a positive topological entropy is established in terms of the asymptotic Nielsen numbers of the impulsive maps being greater than 1. This condition implies at the same time the existence of subharmonic periodic solutions with infinitely many variety of periods. Under a similar condition, the coexistence of subharmonic periodic solutions of all natural orders is also carried out.
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
—
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
15
Country of publishing house
SG - SINGAPORE
Number of pages
11
Pages from-to
21502371-"2150237-11"
UT code for WoS article
000727513200007
EID of the result in the Scopus database
2-s2.0-85121053202