Appropriate discretizations and stochastic approximations of hybrid inclusions produce mappings whose omega limits are internally chain transitive.
Suda, Dynamical properties in the axiomatic theory of ordinary dif- ferential equations, J
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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.