Nonstandard analysis of global attractors
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10317093" target="_blank" >RIV/00216208:11320/15:10317093 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1002/malq.201400029" target="_blank" >http://dx.doi.org/10.1002/malq.201400029</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/malq.201400029" target="_blank" >10.1002/malq.201400029</a>
Alternative languages
Result language
angličtina
Original language name
Nonstandard analysis of global attractors
Original language description
Key concepts of the theory of abstract dynamical systems are formulated in the language of nonstandard analysis (NSA). We are then able to provide simple and intuitive proofs of the basic facts. In particular, we use the NSA to give an alternative proofof the characterization of global attractors due to J.M. Ball. We also address the issue of connectedness. The key observation is that the global attractor, or more generally, the omega-limit set, can be written as a standard part of a suitable internalset.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematical Logic Quarterly
ISSN
0942-5616
e-ISSN
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Volume of the periodical
61
Issue of the periodical within the volume
4-5
Country of publishing house
DE - GERMANY
Number of pages
14
Pages from-to
315-328
UT code for WoS article
000360065400006
EID of the result in the Scopus database
2-s2.0-84939441469