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Generalized Semiflows and Chaos in Multivalued Dynamical Systems

SYSNO ASEP	0380290
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Generalized Semiflows and Chaos in Multivalued Dynamical Systems
Author(s)	Beran, Zdeněk (UTIA-B)_RID Čelikovský, Sergej (UTIA-B)_{RID, ORCID}
Number of authors	2
Source Title	International Journal of Modern Physics B - ISSN 0217-9792 Roč. 26, č. 25 (2012), 1246016-1-1246016-11
Number of pages	11 s.
Publication form	www.worldscientific.com - www.worldscientific.com
Language	eng - English
Country	SG - Singapore
Keywords	Multivalued dynamical systems ; chaos ; differential inclusions
Subject RIV	BC - Control Systems Theory
R&D Projects	GAP103/12/1794 GA ČR - Czech Science Foundation (CSF)
Institutional support	UTIA-B - RVO:67985556
UT WOS	000308660100017
EID SCOPUS	84865983633
DOI	10.1142/S0217979212460162
Annotation	This contribution addresses a possible description of the chaotic behavior in multivalued dynamical systems. For the multivalued system formulated via differential inclusion the practical conditions on the right-hand side are derived to guarantee existence of a solution, which leads to the chaotic behavior. Our approach uses the notion of the generalized semiflow but it does not require construction of a selector on the set of solutions. Several applications are provided by concrete examples of multivalued dynamical systems including the one having a clear physical motivation.
Workplace	Institute of Information Theory and Automation
Contact	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Year of Publishing	2013

Number of the records: 1