generalized semiflows
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2019 ◽  
Vol 30 (2) ◽  
pp. 1412-1449
Author(s):  
Everaldo de Mello Bonotto ◽  
Piotr Kalita

2012 ◽  
Vol 26 (25) ◽  
pp. 1246016
Author(s):  
ZDENĚK BERAN ◽  
SERGEJ ČELIKOVSÝ

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.


2007 ◽  
Vol 16 (1) ◽  
pp. 105-124 ◽  
Author(s):  
Jacson Simsen ◽  
Cláudia B. Gentile

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