Generalized Lyapunov characteristic indicators and corresponding Kolmogorov like entropy of the standard mapping
Abstract
Lyapunov characteristic indicators are currently defined as the mean, i.e. the first moment, of the distribution of the local variations of the tangent vector to the flow. Higher moments of the distribution give further informations about the fluctuations around the average.
 Publication:

Celestial Mechanics and Dynamical Astronomy
 Pub Date:
 May 1993
 DOI:
 10.1007/BF00699741
 Bibcode:
 1993CeMDA..56..307F
 Keywords:

 Entropy;
 Kolmogorov Theory;
 Liapunov Functions;
 Monte Carlo Method;
 Transformations (Mathematics);
 Convergence;
 Dynamical Systems;
 Iterative Solution;
 Physics (General);
 Lyapunov characteristic numbers;
 Kolmogorov entropy;
 standard mapping