Further increasing or decreasing the system parameter, the bursts become longer
and more frequent, until at a critical point chaos is fully developed.
Intermittency is considered to be related to inverse tangent bifurcations, by
which two fixed points of the Poincaré map (one stable, the other unstable) merge
into one (e.g., Schuster 1989).
As for the so-called type-I intermittency, a universal scaling law has been proposed for the relation between a system parameter l and the average length s
h i of
regular motion (e.g., Schuster 1989):
Fig. 6.11 Bifurcation diagrams for the non-shallow arch. The boxed region in (a) is shown
enlarged in (b). (q = 0.2, x = 2.44, b = 0.03, m = 3.32, j = 2.63) (Thomsen 1992)
346
6 Chaotic Vibrations
and more frequent, until at a critical point chaos is fully developed.
Intermittency is considered to be related to inverse tangent bifurcations, by
which two fixed points of the Poincaré map (one stable, the other unstable) merge
into one (e.g., Schuster 1989).
As for the so-called type-I intermittency, a universal scaling law has been proposed for the relation between a system parameter l and the average length s
h i of
regular motion (e.g., Schuster 1989):
Fig. 6.11 Bifurcation diagrams for the non-shallow arch. The boxed region in (a) is shown
enlarged in (b). (q = 0.2, x = 2.44, b = 0.03, m = 3.32, j = 2.63) (Thomsen 1992)
346
6 Chaotic Vibrations