0380290 20240111140819.720120921235959.9 000308660100017 84865983633 10.1142/S0217979212460162 11 s. www.worldscientific.com cav_un_epca*02534020217-97922625 (2012) Multivalued dynamical systems chaos differential inclusions cav_un_auth*0101066 Beran Zdeněk Teorie řízení Department of Control Theory TŘ TR UTIA-B Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0101074 Čelikovský Sergej Teorie řízení Department of Control Theory TŘ TR UTIA-B Department of Control Theory Ústav teorie informace a automatizace AV ČR, v. v. i. textový dokument http://library.utia.cas.cz/separaty/2012/TR/beran-0380290.pdf http://dx.doi.org/10.1142/S0217979212460162 228 kB GAP103/12/1794 GA ČR CZ cav_un_auth*0283207 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. 2013 BC 2 4 A 4a 20231122135157.3 RVO:67985556 http://hdl.handle.net/11104/0211032 PHYSICSAPPLIED|PHYSICSCONDENSEDMATTER|PHYSICSMATHEMATICAL 0.333 0.191 7.3 0.00582 0.119 2514 277 49 0.231 32.78 0.4 Q4 2.919 5.674 Q4 Q4 2012 Soubory v repozitáři: beran-0380290.pdf 84865983633 SCOPUS 000308660100017 WOS textový dokument 228 kB cav_un_epca*0253402 International Journal of Modern Physics B 0217-9792 1793-6578 Roč. 26 č. 25 2012 , 1246016-1-1246016-11