A remark concerning the thermodynamical limit of the Lyapunov spectrum

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 6, Issue 6, 1996, Pages 1137-1142

  Sinai, Ya G ^a,b  

^a PRINCETON UNIVERSITY   (United States)

^b LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000344512     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021812749600062X     Document Type: Article

References (8)

1. Benettin, G., Galgani, L., Giorgilli, A. & Strelcyn, J.-M. [1980a] "Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems: A method for computing all of them," 9, 21.
2. Benettin, G., Lo Vecchio, G. & Tenenbaum, A. [1980b] "Stochastic transition in two-dimensional Lennard-Jones Systems," Phys. Rev. A22, 1709.
3. Gallavotti, G. & Cohen, E. [1995] "Dynamical ensembles in non-equilibrium statistical mechanics," Phys. Rev. Lett. 74, 2694-2696.
4. Gupalo, D., Kaganovich, A. & Cohen, E. [1994] "Symmetry of Lyapunov spectrum," J. Stat. Phys. 74(5/6), 1145-1159.
5. Livi, R., Politi, A. & Ruffo, S. J. [1986] "Distribution of characteristic exponents in the thermodynamic limits," Phys. A. Math. Gen. 19, 2033-2040.
6. Ruelle, D. [1982] "Large volume limit of the distribution of characteristic exponents in turbulence," Comm. Math. Phys. 87, 287-302.
7. Sinai, Ya. G. [1974] "Construction of cluster dynamics for the dynamical systems of statistical mechanics," Vestnik, MGU 29, 344-363.
8. Sinai, Ya. G. & Chernov, N. I. [1982] "Entropy of a gas of hard spheres with respect to the group of space-time shifts," Proc. of Petrovski Seminar, 8, 218-238.