# zbMATH — the first resource for mathematics

Distribution of characteristic exponents in the thermodynamic limit. (English) Zbl 0624.58030
This paper deals with the thermodynamic limit of certain statistical properties for dynamical systems. More precisely, the Fermi-Pasta-Ulam $$\beta$$-model is investigated numerically with respect to the thermodynamic limit of the spectrum of the Lyapunov characteristic exponent. A limit distribution is achieved with 40-80 degrees of freedom involved. As a consequence the Kolmogorov-Sinai entropy can be simply expressed in terms of the maximum Lyapunov exponent in the corresponding region of the energy density spectrum.