Stochastic stability of weakly coupled lattice maps

Nonlinearity

Volumn 10, Issue 3, 1997, Pages 715-730

  Maes, C ^a   Van Moffaert, A ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001761189     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/10/3/007     Document Type: Article

References (22)

1. Baladi V and Young L S 1993 On the spectra of randomly perturbed expanding maps Commun. Math. Phys. 156 355-85
2. Boldrighini C, Bunimovich L A, Cosimi G, Frigio S and Pellegrinotti A 1994 Ising-type transitions in the coupled map lattices Carr Rep. Math. Phys. 4
3. Bricmont J and Kupiainen A 1995 Coupled analytic maps Nonlinearity 8 379-96
4. Bricmont J and Kupiainen A 1996 High temperature expansions and dynamical systems Commun. Math. Phys. 178 703-32
5. Bricmont J and Kupiainen A Infinite dimensional SRB measures Physica D submitted
6. Brydges D C 1984 A short course on cluster expansions Critical Phenomena, Random Systems, Gauge Theories (Les Houches Session XLIII) ed K Osterwalder and R Stora (Amsterdam: Elsevier) pp 129-83
7. Bunimovich L A and Sinai Ya G 1988 Spacetime chaos in coupled map lattices Nonlinearity 1 491-516
8. Dunford N and Schwartz J T 1963 Linear Operators vol 2 (New York: Interscience) p 1018
9. Dolgopyat D Entropy of coupled map lattices Preprint
10. Eckmann J P and Ruelle D 1985 Ergodic theory of chaos and strange attractors Rev. Mod. Phys. 57 617-56
11. Jiang M 1995 Ergodic properties of coupled map lattices of hyperbolic type PhD Thesis Penn State
12. Jiang M 1995 Equilibrium states for lattice models of hyperbolic type Nonlinearity 8 631-59
13. Kaneko K 1989 Pattern dynamics in spatiotemporal chaos Physica D 34 1-41
14. Kaneko K 1993 The coupled map lattice Theory and Applications of Coupled Map Lattices (Nonlinear Science: Theory and Applications) ed Kunihiko Kaneko
15. Kifer Y 1988a Random Perturbations of Dynamical Systems (Boston: Birkhauser)
16. Livi R, Politi A, Ruffo S and Vulpiani A 1987 Lyapunov exponents in high-dimensional symplectic dynamics J. Stat. Phys. 46 147-60
17. Maes C and Vande Velde K 1993 The interaction potential of the stationary measure of a high-noise spinflip process J. Math. Phys. 34 3030-8
18. Pfister C E 1991 Large deviations and phase separation in the two-dimensional Ising model Helv. Phys. Acta 64 953-1054
19. Ruelle D 1976 Zeta functions for expanding maps and Anosov flows Invent. Math. 34 231-42
20. Simon B 1994 The Statistical Mechanics of Lattice Gases vol 1 (Princeton, NJ: Princeton University Press)
21. Sinai Ya G A remark concerning the thermodynamical limit of Lyapunov spectrum Preprint
22. Young L-S 1986 Stochastic stability of hyperbolic attractors Ergod. Theor. Dynam. Syst. 6 311-19