TOPOLOGICAL DYNAMICS
Charles François (2004). TOPOLOGICAL DYNAMICS, International Encyclopedia of Systems and Cybernetics, 2(2): 3588.
| Collection | International Encyclopedia of Systems and Cybernetics |
|---|---|
| Year | 2004 |
| Vol. (num.) | 2(2) |
| ID | ◀ 3588 ▶ |
| Object type | Methodology or model |
Name given to chaos theory by the American School of St. SMALE in Berkeley and the Soviet School of A. KOLMOGOROV, Y. SINAI and V.l. ARNOL'D in Moscow (1989, p.42).
I. STEWART comments: “The very jargon of chaos has strong geometrical flavour: phase space, orbits, flows, mappings, sources, sinks, saddles, attractors, bifurcations, tangles, period-doubling cascades” (Ibid).
More could be added: basins, separators, limits, thresholds, Poincar+ sections, trajectory.
Much of it derives from POINCARÉ's analysis situs, the original name of topology.