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 / Livi, R.; Politi, A.; Ruffo, S.; Vulpiani, A.. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - 46:1-2(1987), pp. 147-160. [10.1007/BF01010337]
Liapunov exponents in high-dimensional symplectic dynamics
Ruffo, S.;
1987-01-01
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.File in questo prodotto:
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