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Ústav pro výzkum a aplikace fuzzy modelování (94410)
Title:
Devaney Chaotic Fuzzy Discrete Dynamical Systems
Citace
Kupka, J. Devaney Chaotic Fuzzy Discrete Dynamical Systems.
In:
Proc. of FUZZ-IEEE 2010.
Barcelona: IEEE, 2010. IEEE, 2010. s. 1-5. ISBN 978-1-4244-6920-8.
Subtitle
Publication year:
2010
Obor:
Obecná matematika
Number of pages:
5
Page from:
1
Page to:
5
Form of publication:
ISBN code:
978-1-4244-6920-8
ISSN code:
Proceedings title:
Proc. of FUZZ-IEEE 2010
Proceedings:
Mezinárodní
Publisher name:
IEEE
Place of publishing:
Barcelona
Country of Publication:
Sborník vydaný v zahraničí
Název konference:
2010 IEEE World Congress on Computational Intelligence
Místo konání konference:
Barcelona
Datum zahájení konference:
Typ akce podle státní
příslušnosti účastníků:
Celosvětová akce
WoS code:
000287453602054
EID:
Key words in English:
Chaotic properties; Devaney chaotic; Discrete dynamical systems; Fuzzy extension; Theoretical foundations; Zadeh's extension principles
Annotation in original language:
This paper is a contribution to the theoretical foundations of the theory of fuzzy discrete dynamical systems. We study relations between a given discrete dynamical system and its fuzzy extension - namely, a dynamical system induced by the Zadeh's extension principle. Results contained in this contribution are related to the most common definition of chaos, i.e., Devaney's one, and provide almost complete answer to the problem introduced in [H. Román-Flores, Y. Chalco-Cano, Some chaotic properties of Zadeh's extension, Chaos, Solitons & Fractals, Volume 35, Issue 3, February 2008, Pages 452-459].
Annotation in english language:
References
Reference
R01:
RIV/61988987:17610/10:A110103P
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