Topological properties of linearly coupled expanding map lattices

Nonlinearity

Volumn 13, Issue 4, 2000, Pages 973-993

  Afraimovich, Valentin ^a   Fernandez, Bastien ^b  

^a UASLP   (Mexico)

^b CENTRE DE PHYSIQUE THÉORIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034215748     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/13/4/301     Document Type: Article

References (21)

1. Afraimovich V and Courbage 2000 On the abundance of traveling waves in coupled expanding circle maps Transl. AMS (Providence, RI: American Mathematical Society) to appear
2. Afraimovich V Glebsky L Y and Nekorkin V I 1994 Stability of stationary states and spatial chaos in multidimensional lattice dynamical systems Random Comput. Dyn. 2 287-303
3. Afraimovich V and Hsu S-B 1998 Lectures on Chaotic Dynamical Systems (Hsinchu, Taiwan: Centre for Theoretical Sciences)
4. Afraimovich V and Pesin Ya 1993 Traveling waves in lattices models of multidimensional and multicomponent media: I. General hyperbolic properties Nonlinearity 6 429-55 Afraimovich V, Pesin Ya and Tempelman A 1993 Traveling waves in lattices models of multidimensional and multicomponent media: II. Ergodic properties and dimensions Chaos 3 233-41
5. Afraimovich V and Pesin Ya 1993 Traveling waves in lattices models of multidimensional and multicomponent media: I. General hyperbolic properties Nonlinearity 6 429-55 Afraimovich V, Pesin Ya and Tempelman A 1993 Traveling waves in lattices models of multidimensional and multicomponent media: II. Ergodic properties and dimensions Chaos 3 233-41
6. Alkseiev V M 1976 Symbolic Dynamics, 11th Summer Mathematical School (Kiev: Mathematics Institute of the Ukrainian Academy of Science)
7. Bricmont J and Kupiainien A 1995 Coupling analytic maps Nonlinearity 8 379-96
8. Bunimovich L 1997 Coupled map lattices: some topological and ergodic properties Physica D 107 1-17
9. Bunimovich L A and Sinai Ya G 1988 Space-time chaos in coupled map lattices Nonlinearity 1 491-516
10. Coutinho R and Fernandez B 1998 Fronts and interfaces in bistable extended mappings Nonlinearity 11 1407-33
11. Coutinho R and Fernandez B Private communication
12. Jiang M 1994 Equilibrium states for lattices models of hyperbolic type Nonlinearity 5 631-59
13. Jiang M and Pesin Ya 1998 Equilibrium measures for coupled map lattices: existence, uniqueness and finite-dimensional approximations Commun. Math. Phys. 193 675-711
14. Keller G and Kunzle M 1992 Transfer operators for coupled map lattices Ergod. Th. Dyn. Syst. 12 297-318
15. Katok A and Hasselblatt B 1995 Introduction to the Modern Theory of Dynamical Systems (Cambridge: Cambridge University Press)
16. Kaneko K (ed) 1993 Theory and Applications of Coupled Map Lattices (New York: Wiley)
17. Kolmogorov A and Fomine S 1974 Éléments de la Théorie des Fonctions et de L'analyse Fonctionnelle (Moscow: Mir)
18. Lemaître A and Chaté H 1998 Nonperturbative renormalization group for chaotic coupled map lattices Phys. Rev. Lett. 80 5528-31
19. Malkin M I 1989 On continuity of entropy of discontinuous mappings of the interval Sel. Math. Sov. 8 133-9
20. Pesin Ya and Sinai Ya G 1991 Space-time chaos in chains of weakly interacting hyperbolic mappings Adv. Sov. Math. 3165-98
21. Rudin W 1991 Functional Analysis (New York: McGraw-Hill)