Table 3 Classification accuracy in held out simulated systems. While the datasets in Tables 1, 2 were used to optimize the Chaos Decision Tree Algorithm, these datasets were not. Performance was near-perfect.

From: A simple method for detecting chaos in nature

  Measurement noise level (% of std. dev.)
System 0% 10% 20% 30% 40%
Rössler system59 (chaotic) 70/100 90/100 96/100 100/100 100/100
Ikeda map60 (chaotic) 100/100 100/100 100/100 100/100 14/100
Hénon map61 (periodic) 100/100 100/100 100/100 100/100 100/100
Cubic map61 (period-doubled) 100/100 100/100 100/100 100/100 100/100
Poincaré oscillator41 (periodic) 100/100 100/100 100/100 100/100 57/100
Poincaré oscillator41 (quasi-periodic) 100/100 100/100 100/100 100/100 100/100
Poincaré oscillator41 (chaotic) 100/100 100/100 100/100 100/100 100/100
Multivariate AR model (linear stochastic) 100/100 100/100 100/100 100/100 100/100