INCOMMENSURABILITY

Charles François (2004). INCOMMENSURABILITY, International Encyclopedia of Systems and Cybernetics, 2(1): 1627.

Collection	International Encyclopedia of Systems and Cybernetics
Year	2004
Vol. (num.)	2(1)
ID	◀ 1627 ▶
Object type	Methodology or model

P. BERG- and M. DUBOIS state: “A nonlinear dynamic system that oscillates on three incommensurable frequencies may become unstable and show a chaotic behavior” (1992, p.120).

The subject of incommensurability deserves wider research because it is a bridge between chaos and prime numbers. Intertwined periods each with a frequency based on a prime number could be the basic characteristic of chaos.

This could also prove an interesting return to PYTHAGORAS and FIBONACCI.