Analysis of Rattleback Chaotic Oscillations

Figure 9

Average mutual information 𝐼(𝜏) versus 𝜏 time delay for spin rate 𝜔₁(𝑡) time-series in the case of (a) wax, 𝜏=53, 𝑊=60, (b) gypsum, 𝜏=63, 𝑊=358, and (c) lead solder, 𝜏=58, 𝑊=58. 𝜏 is the first minimum and 𝑊 is the absolute minimum and this value is regarded as the Theiler window.

(a)

(b)

(c)