Maximum-likelihood estimation of the entropy of an attractor

Characterization of regimes and regime transitions in bubble columns by chaos analysis of pressure signals

“…It is quantified by the Kolmogorov entropy, a characteristic invariant proportional to the rate of separation of two orbits. Schouten et al (1994a) and Van den Bleek (1992-1995) developed methods and software for a maximum likelihood estimation of the Kolmogorov entropy. The correlation dimension is calculated using the maximum likelihood estimation of Takens as described by Schouten et al (1994bl. In Fig.…”

Prognostic Analysis of the Tactical Quiet Generator

“…Distances are normalized with respect to a nominal scale length, 0 , which is a balance between sensitivity to local dynamics (typically at 0 5a) and avoidance of excessive noise (typically at 0 a). Here, the symbol, a , denotes the absolute average deviation (defined in the paragraph on CSM) as a robust indicator of variability 41 . Another typical TNM is Kolmogorov entropy (K-entropy), K, which measures the rate of information loss per unit time (e.g., bits per second as a measure of predictability), and is the sum of the positive Lyapunov exponents.…”

Detecting regime transitions in gas-solid fluidized beds from low frequency accelerometry signals

“…Several methods have been proposed for estimating the Kolmo gorov entropy from experimental time series [30,31]. However, due to the non linear features of the signals collected from FB's [32], the maximum likelihood method [31], which has lower noise influence, is commonly used.…”

“…However, due to the non linear features of the signals collected from FB's [32], the maximum likelihood method [31], which has lower noise influence, is commonly used. For computing the Kolmogorov entropy, the attractor has been reconstructed following the recommendations of Schouten et al [33].…”