Analysis of Rattleback Chaotic Oscillations

Figure 6

Average mutual information 𝐼(𝜏) versus 𝜏 time delay for roll angle 𝛼(𝑡) time-series, in the case of (a) wax, 𝜏=63, 𝑊=78, (b) gypsum, 𝜏=140, 𝑊=200, and (c) lead-solder, 𝜏=65, 𝑊=80. 𝜏 is the first minimum and 𝑊 is the absolute minimum and this value is regarded as the Theiler window.

(a)

(b)

(c)