Appropriate discretizations and stochastic approximations of hybrid inclusions produce mappings whose omega limits are internally chain transitive.
Goebel, A direct proof of Conley’s decomposition for well-posed hy- brid inclusions, Systems Control Lett
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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.