Počet záznamů: 1  

Generalized Semiflows and Chaos in Multivalued Dynamical Systems

  1. 1. 0380290 - UTIA-B 2013 RIV SG eng J - Článek v odborném periodiku
    Beran, Zdeněk - Čelikovský, Sergej
    Generalized Semiflows and Chaos in Multivalued Dynamical Systems.
    International Journal of Modern Physics B. Roč. 26, č. 25 (2012), 1246016-1-1246016-11. ISSN 0217-9792
    Grant CEP: GA ČR(CZ) GAP103/12/1794
    Institucionální podpora: RVO:67985556
    Klíčová slova: Multivalued dynamical systems * chaos * differential inclusions
    Kód oboru RIV: BC - Teorie a systémy řízení
    Impakt faktor: 0.358, rok: 2012
    http://library.utia.cas.cz/separaty/2012/TR/beran-0380290.pdf

    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.
    Trvalý link: http://hdl.handle.net/11104/0211032