0365125 20240111140801.120111013235959.9 5 s. www cav_un_epca*03651241-5Vegazana Campus of the University of LeónUniversidad de León2011 Multi-valued 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*0228497 Čelikovský S. CZ textový dokument http://physcon.unileon.es/wp-content/uploads/Finalprogram.pdf 90 kB GAP103/10/0628 GA ČR CZ cav_un_auth*0274748 CEZ:AV0Z10750506 This contribution addresses a possible description of the chaotic behavior in multi-valued dynamical systems. An important area leading to description via the multi-valued dynamical systems is the non-smooth dynamical systems theory and their applications. Examples of such applications are mechanics with dry friction, electric circuits with small conductivity, systems with small inertia, economy, biology, control theory, game theory, optimization, etc. The phenomenon of the chaos in multi-valued systems is even more complicated issue than in case of the single-valued ones and deserves to be intensively studied. The most of the existing results proves the existence of chaos in multi-valued systems via an appropriate construction of a homeomorphism between one selected solution from the set of them and the bi-directional full shift of symbols. The approach presented here does not require construction of a selector on the set of solutions and uses a more intuitive and descriptive definition of the chaos. cav_un_auth*0274929 Physcon 2011 - 5th International Scientific Conference on Physics and Control León 05.09.2011-08.09.2011 ES 2012 BC 2 http://hdl.handle.net/11104/0200440 2011 textový dokument 90 kB cav_un_epca*0365124 Proceedings of the PHYSCON 2011 5th International Scientific Conference on Physics and Control 1 5 Vegazana Campus of the University of León Universidad de León 2011