The existence of a thermodynamic limit of the distribution of Liapunov exponents is numerically verified in a large class of symplectic models, ranging from Hamiltonian flows to maps and products of random matrices. In the highly chaotic regime this distribution is approximately model-independent. Near an integrable limit only a few exponents give a relevant contribution to the Kolmogorov-Sinai entropy.
Liapunov exponents in high-dimensional symplectic dynamics / R. Livi; A. Politi; S. Ruffo; A. Vulpiani. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - STAMPA. - 46:(1987), pp. 147-160.
Liapunov exponents in high-dimensional symplectic dynamics
LIVI, ROBERTO;RUFFO, STEFANO;
1987
Abstract
The existence of a thermodynamic limit of the distribution of Liapunov exponents is numerically verified in a large class of symplectic models, ranging from Hamiltonian flows to maps and products of random matrices. In the highly chaotic regime this distribution is approximately model-independent. Near an integrable limit only a few exponents give a relevant contribution to the Kolmogorov-Sinai entropy.
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