Symbolic flow and its applications (Q1281312)

The main goal is to prove that the closure of the set of all almost periodic points of a \(C^0\)-flow may be contained genuinely in its minimal center of attraction. The above questions bear a relation to the structure of the minimal center of attraction and hence possess important theoretical meaning. This question was posed by Nemytskij and Stepanov and for a self-homeomorphism the above question has not been answered.