CORRELATION DIMENSION
Charles François (2004). CORRELATION DIMENSION, International Encyclopedia of Systems and Cybernetics, 2(1): 728.
| Collection | International Encyclopedia of Systems and Cybernetics |
|---|---|
| Year | 2004 |
| Vol. (num.) | 2(1) |
| ID | ◀ 728 ▶ |
| Object type | Methodology or model |
- “A number that measures the degree to which the system's attractor ”fills up“ the space of states” (J. CASTI, 1994, p.101).
CASTI states: “The correlation dimension weights the points on the attractor according to how frequently they are visited… A telltale sign of chaos is when the correlation dimension turns to have a noninteger value much greater than 1” (Ibid).
Thus, in such a case, fractionary correlation implies deterministic randomness.
See: FEIGENBAUM 's number.