SINGULARITY (Bifurcation)
Charles François (2004). SINGULARITY (Bifurcation), International Encyclopedia of Systems and Cybernetics, 2(2): 3057.
| Collection | International Encyclopedia of Systems and Cybernetics |
|---|---|
| Year | 2004 |
| Vol. (num.) | 2(2) |
| ID | ◀ 3057 ▶ |
| Object type | General information, Methodology or model |
Cl BRUTER describes its two principal properties as follows:
- “Bifurcation appear for values of the bifurcation variables forming void measures sets in the variables space of the bifurcation.” (1989, p.449)
Bifurcation singularities are very unusual situations!
- “For these singular values, mathematical objects show degenerated forms.”
- “All this corresponds to very understandable physical situations. If the structure of any object is to be modified, it must first pass through a dissolution phase of the initial structure, at least, partly”.
- “This phase is only transitory, in view that the object looses its inmediate qualities of stability”(Ibid).
BRUTER cites the example of insects metamorphosis, in which “…the chrysalid's formation leads to the practical dissolution of all the organic systems… quickly followed by a assembling phase in which the organic systems of the adult insect are elaborated from special embryonic cells.” (Following DENTON: 1988)