Beyond Lyapunov
Chaotic Dynamics
2012-11-27 v2 Mathematical Physics
math.MP
Abstract
Ergodic parameters like the Lyapunov and the conditional exponents are global functions of the invariant measure, but the invariant measure itself contains more information. A more complete characterization of the dynamics by new families of ergodic parameters is discussed, as well as their relation to the dynamical R\'{e}nyi entropies and measures of self-organization. A generalization of the Pesin formula is derived which holds under some weak correlation conditions.
Cite
@article{arxiv.1008.2664,
title = {Beyond Lyapunov},
author = {R. Vilela Mendes},
journal= {arXiv preprint arXiv:1008.2664},
year = {2012}
}
Comments
15 pages Latex