# 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 __sub__set of the set of all possible system states.

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