Generalized Lyapunov characteristic indicators and corresponding Kolmogorov like entrophy of the standard mapping

Details Generalized Lyapunov characteristic indicators and corresponding Kolmogorov like entrophy of the standard mapping Generalized Lyapunov characteristic indicators and corresponding Kolmogorov like entrophy of the standard mapping

May 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..56..307f&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 56, no. 1-2, p. 307-314.

Mathematics

Dynamical Systems

33

Entropy, Kolmogorov Theory, Liapunov Functions, Monte Carlo Method, Transformations (Mathematics), Convergence, Dynamical Systems, Iterative Solution

Scientific paper

Liapunov characteristic indicators defined as the first moment of
distribution of the local variations of the tangent vectors to the flow,
are characterized. The two first moments (the mean and the rms) and the
Fisher coefficients which measure the asymmetry and the flatness with
respect to the normal distribution are used.

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