nr. 477 - 2011 - Institut for Natur, Systemer og Modeller (NSM)

B.6 Stable Spirals for f1 near the Bifurcation Point 155
B.6 Stable Spirals for f1 near the Bifurcation Point
Here we present a series of phase space plots that show how the stable spiral behaves as
f1 nears the bifurcation point. f1 grows from left to right in every figure and also as we
go down through the figures. In figure B.25 f1 changes very little from the figure on the
left to the right; f1 = 2.5663 × 10 −5 on the left, f1 = 2.566305 × 10 −5 on the right. We
have made such minuscule changes because this is very close to the bifurcation point.
For f1 = 2.574 × 10 −5 the spiral has vanished, and the phase space curve tends to the
healthy rest state; cf. figure 8.4.
The figures should be self-explanatory so we will not bother with a lot of repetitive
caption.
Figure B.23
Figure B.24