Note 1a

A third type of attractor is a so called strange attractor (chaotic attractor), which can occur in systems consisting of infinitely many system elements, and which is a definite pattern (set) of (infinitely many) system states in which the system finally settles itself, although never visiting a state of that set twice. Although in this case both the total number of possible system states and the number of system states belonging to the strange attractor are infinite, the (latter) set of system states belonging to that attractor can nevertheless be a true subset of the set of all possible system states.

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