Appropriate discretizations and stochastic approximations of hybrid inclusions produce mappings whose omega limits are internally chain transitive.
Valadier, Lignes de descente de fonctions lipschitziennes non pathologiques, in: Seminaire d’Analyse Convexe, Vol
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Chain transitivity in generalized hybrid dynamics with application to simulation and stochastic approximation of hybrid systems
Appropriate discretizations and stochastic approximations of hybrid inclusions produce mappings whose omega limits are internally chain transitive.