Analysis of Rattleback Chaotic Oscillations

Figure 12

Average mutual information 𝐼(𝜏) versus 𝜏 time delay for angle 𝛿(𝑡) time-series in the case of (a) wax, 𝜏=61, 𝑊=84, (b) gypsum, 𝜏=114, 𝑊=197, (c) lead solder, 𝜏=55, 𝑊=470. It is noted that 𝜏 determines the proper delay time and 𝑊 the Theiler window.

(a)

(b)

(c)