Additional runs of the Rikitake (1958) dynamo model (using EQ 2disc02b.m ) with varying combinations of different values of the parameters µ (1, 1.5, 2) and K (0.2, 1.5, 2) and producing several thousand reversals are analyzed using the methods in this study.
Cumulative probability and box-counting plots for both disks I1 and I2 are shown. Two observations are made: 1) with more reversals, roll-offs begin to be seen in some of the plots of cumulative
probability and box-counting; 2) the optimal values of µ and K for producing power scaling are µ = 1.5 and K = 1.5 and 2.
Cumulative probability plots
(a) (b)
Figure S.1. Rikitake: µ = 1, K = 1.5. (a) I1. (b) I2.
(a) (b)
Figure S.2. Rikitake: µ = 1, K = 2. (a) I1. (b) I2.
(a) (b)
Figure S.3. Rikitake: µ = 1.5, K = 0.2. (a) I1. (b) I2.
(a) (b)
Figure S.4. Rikitake: µ = 1.5, K = 1.5. (a) I1. (b) I2.
(a) (b)
Figure S.5. Rikitake: µ = 1.5, K = 2. (a) I1. (b) I2.
(a) (b)
Figure S.6. Rikitake: µ = 2, K = 0.2. (a) I1. (b) I2.
(a) (b)
Figure S.7. Rikitake: µ = 2, K = 1.5. (a) I1. (b) I2.
(a) (b)
Figure S.8. Rikitake: µ = 2, K = 2. (a) I1. (b) I2.
Box-counting plots
(a) (b)
Figure S.9. Rikitake: µ = 1, K = 1.5. (a) I1. (b) I2.
(a) (b)
Figure S.10. Rikitake: µ = 1, K = 2. (a) I1. (b) I2.
(a) (b)
Figure S.11. Rikitake: µ = 1.5, K = 0.2. (a) I1. (b) I2.
(a) (b)
Figure S.12. Rikitake: µ = 1.5, K = 1.5. (a) I1. (b) I2.
(a) (b)
Figure S.13. Rikitake: µ = 1.5, K = 2. (a) I1. (b) I2.
(a) (b)
Figure S.14. Rikitake: µ = 2, K = 0.2. (a) I1. (b) I2.
(a) (b)
Figure S.15. Rikitake: µ = 2, K = 1.5. (a) I1. (b) I2.
(a) (b)
Figure S.16. Rikitake: µ = 2, K = 2. (a) I1. (b) I2.
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