 One of the characteristic features of strange attractors is that they posses self-similar structure. Magnify any small portion of the attractor and you would find that the magnified portion would look identical to the regular-sized region. Magnify the magnified region and you would see the identical structure repeated again. Continuous repetition of this process would yield the same results. The self-similar structure is repeated on arbitrarily small scales. An important geometric implication of self-similarity is that there is no inherent size scale so that we can take as large a magnification of as small a region of the attractor as we want and a statistically similarly structure will be repeated (Hilborn 1994, p. 56). In other words, strange attractors for chaotic models have an infinite number of layers of repetitive structure. This type of structure allows trajectories to remain within a bounded region of state space by folding and intertwining with one another without ever intersecting or repeating themselves exactly. 