Topological mixing (or topological transitivity) means that the system evolves over time so that any given region or open set of its phase space eventually overlaps with any other given region.

Six iterations of a set of states passed through the logistic map. x → 4 x (1 – x) To expand the state-space of the logistic map into two dimensions, a second state, y , was created as y → (x + y) mod 1

first data set	iteration 1

iteration 2	iteration 3

iteration 4	iteration 5

it is easier to find out about mixing by comparing these itertions in one frame

iteration 0,1,2,3	iteration 0-5

As it is clear, regions are overlaping each other.