Generalized Semiflows and Chaos in Multivalued Dynamical Systems

0380290 - ÚTIA 2013 RIV SG eng J - Journal Article
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. E-ISSN 1793-6578
R&D Projects: GA ČR(CZ) GAP103/12/1794
Institutional support: RVO:67985556
Keywords : Multivalued dynamical systems * chaos * differential inclusions
Subject RIV: BC - Control Systems Theory
Impact factor: 0.358, year: 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.
Permanent Link: http://hdl.handle.net/11104/0211032