Bibliografie
Journal Article
Generalized Semiflows and Chaos in Multivalued Dynamical Systems
,
: International Journal of Modern Physics B vol.26, 25 (2012)
: GAP103/12/1794, GA ČR
: Multivalued dynamical systems, chaos, differential inclusions
: http://library.utia.cas.cz/separaty/2012/TR/beran-0380290.pdf
: http://dx.doi.org/10.1142/S0217979212460162
(eng): 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.
: BC