Nontrivial collective behavior in coupled maps on fractal lattices

Physica A: Statistical Mechanics and its Applications

Volumn 257, Issue 1-4, 1998, Pages 357-364

  Cosenza, M G ^a  

^a FACULTAD DE CIENCIAS   (Venezuela)

Author keywords

Chaotic systems; Collective phenomena; Discrete dynamical models; Statistical mechanics

Indexed keywords

CHAOS THEORY; FRACTALS; FUNCTIONS; MATHEMATICAL MODELS; STATISTICAL MECHANICS;

COUPLED MAPS; FRACTAL LATTICES;

CRYSTAL LATTICES;

EID: 0032142525     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(98)00159-9     Document Type: Article

References (19)

1. K. Kaneko (Ed.), Theory and Applications of Coupled Map Lattices, Wiley, New York, 1993; K. Kaneko (Ed.), Chaos 2 (3) (1992).
2. K. Kaneko (Ed.), Theory and Applications of Coupled Map Lattices, Wiley, New York, 1993; K. Kaneko (Ed.), Chaos 2 (3) (1992).
3. K. Kaneko, Phys. Rev. Lett. 65 (1990) 1391.
4. N. Chatterjee, N. Gupte, Phys. Rev. E 53 (1996) 4457.
5. H. Chaté, A. Lemaitre, P. Marq, P. Manneville, Physica A 224 (1996) 447.
6. H. Chaté, P. Manneville, Europhys. Lett. 17 (1992) 291; Prog. Theor. Phys. 87 (1992) 1.
7. H. Chaté, P. Manneville, Europhys. Lett. 17 (1992) 291; Prog. Theor. Phys. 87 (1992) 1.
8. P.M. Binder, V. Privman, J. Phys. A 25 (1992) L775.
9. R. Kopelman, Science 241 (1988) 1620; and for additional examples, D. Avnir (Ed.), The Fractal Approach to Heterogeneous Chemistry, Wiley, New York, 1989.
10. R. Kopelman, Science 241 (1988) 1620; and for additional examples, D. Avnir (Ed.), The Fractal Approach to Heterogeneous Chemistry, Wiley, New York, 1989.
11. M.G. Cosenza, R. Kapral, Phys. Rev. A 46 (1992) 1850; Chaos 2 (1992) 329.
12. M.G. Cosenza, R. Kapral, Phys. Rev. A 46 (1992) 1850; Chaos 2 (1992) 329.
13. M.G. Cosenza, R. Kapral, Chaos 4 (1994) 99.
14. Y. Gefen, A. Aharony, Y. Shapir, B.B. Mandelbrot, J. Phys. A 17 (1984) 435; B.B. Mandelbrot, The Fractal Geometry of Nature, Freeman, San Francisco, 1982.
15. Y. Gefen, A. Aharony, Y. Shapir, B.B. Mandelbrot, J. Phys. A 17 (1984) 435; B.B. Mandelbrot, The Fractal Geometry of Nature, Freeman, San Francisco, 1982.
16. K. Kaneko, Physica D 41 (1990) 137.
17. H. Chaté, J. Losson, Physica D 103 (1997) 51.
18. H. Chaté, P. Manneville, Chaos 2 (1992) 307.
19. M.G. Cosenza, K. Tucci, Coupled maps on heterogeneous lattices, in preparation.