INTEGRABILITY
Charles François (2004). INTEGRABILITY, International Encyclopedia of Systems and Cybernetics, 2(1): 1723.
| Collection | International Encyclopedia of Systems and Cybernetics |
|---|---|
| Year | 2004 |
| Vol. (num.) | 2(1) |
| ID | ◀ 1723 ▶ |
| Object type | Methodology or model |
V. CROQUETTE states: “…all linear problems can be integrated”.(1989, p.68).
Such problems correspond to the behavior of systems submitted to only one or two independent periodic oscillations.
CROQUETTE adds: “On the contrary, for nonlinear systems, the determination of the characteristic modes of behavior is quite more difficult and, in most cases downright impossible. The notion of non-integrability is thus closely related to the nonlinear character of the system, even if there are some integrable nonlinear systems, as the pendulum, for example” (Ibid).