On the Use of Interval Extensions to Estimate the Largest Lyapunov Exponent from Chaotic Data

Figure 6

LLE calculation for the tent map. The -axis is the number of iterates and the -axis is the log of the lower bound error. Using a polynomial NARMAX and interval extension, our method has estimated the LLE to be equal to 1.0461, while the correct value is 0.9993.