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On Characterization of the Solution Set in Case of Generalized Semiflow
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SYSNO ASEP 0334157 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On Characterization of the Solution Set in Case of Generalized Semiflow Title Charakteristika množiny řešení pro zobecněné semitoky Author(s) Beran, Zdeněk (UTIA-B) RID Source Title Kybernetika. - : Ústav teorie informace a automatizace AV ČR, v. v. i. - ISSN 0023-5954
Roč. 45, č. 5 (2009), s. 701-715Number of pages 15 s. Publication form www - www Language eng - English Country CZ - Czech Republic Keywords generalized semiflow ; chaos ; symbolic dynamics Subject RIV BC - Control Systems Theory R&D Projects GA102/08/0186 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000273488700002 Annotation In the paper, a possible characterization of a chaotic behavior for the generalized semiflows in finite time is presented. As a main result, it is proven that under specific conditions there is at least one trajectory of generalized semiflow, which lies inside an arbitrary covering of the solution set. The trajectory mutually connects each subset of the covering. A connetion with symbolic dynamical systems is mentioned and a possible numerical method of analysis of dynamical behavior is outlined. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2010
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