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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.
Reviewer: St.Andersson

58Z05 Applications of global analysis to the sciences
80A05 Foundations of thermodynamics and heat transfer
70K20 Stability for nonlinear problems in mechanics
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