GENERALIZED SEMIFLOWS AND CHAOS IN MULTIVALUED DYNAMICAL SYSTEMS.

Autor: BERAN, ZDENĚK, ČELIKOVSÝ, SERGEJ
Předmět:
Zdroj: International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics; 10/10/2012, Vol. 26 Issue 25, p-1, 11p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index