A multivalued version of the Block-Sharkovsky theorem applicable to differential equations on the circle
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73587814" target="_blank" >RIV/61989592:15310/18:73587814 - isvavai.cz</a>
Alternative codes found
RIV/61989592:15410/18:73587814
Result on the web
<a href="http://dx.doi.org/10.1142/S0218127418501420" target="_blank" >http://dx.doi.org/10.1142/S0218127418501420</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0218127418501420" target="_blank" >10.1142/S0218127418501420</a>
Alternative languages
Result language
angličtina
Original language name
A multivalued version of the Block-Sharkovsky theorem applicable to differential equations on the circle
Original language description
A multivalued version of the well-known (Sharkovsky type) Block cycle coexistence theorem is, on the basis of our former results, completed and applied to differential equations and inclusions. The deterministic results are also randomized which allows us, besides other things, to eliminate some exceptional absent periodic dynamics. In this way, instead of at most two possible deterministic exceptional cases (w.r.t. the standard Block theorem), only one possible random exception can occur, provided the forcing period n=2^m⋅3, m∈N∪{0}. On the other hand, the application to random differential equations and inclusions is not so effective in general.
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
2018
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
ISSN
0218-1274
e-ISSN
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Volume of the periodical
28
Issue of the periodical within the volume
11
Country of publishing house
SG - SINGAPORE
Number of pages
15
Pages from-to
"1850142-1"-"1850142-15"
UT code for WoS article
000448307500016
EID of the result in the Scopus database
2-s2.0-85055629499