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Bibliografie

Journal Article

Generalized Semiflows and Chaos in Multivalued Dynamical Systems

Beran Zdeněk, Čelikovský Sergej

: International Journal of Modern Physics B vol.26, 25 (2012)

: GAP103/12/1794, GA ČR

: Multivalued dynamical systems, chaos, differential inclusions

: 10.1142/S0217979212460162

: 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

07.01.2019 - 08:39