Hierarchical globally coupled systems

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 5, 1998, Pages 5217-5229

  Sinha, Sudeshna ^a   Pérez, Gabriel ^b   Cerdeira, Hilda A ^c  

^a INSTITUTE OF MATHEMATICAL SCIENCES   (India)

^b DEPARTAMENTO DE FÍSICA   (Mexico)

^c ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001761528     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.5217     Document Type: Article

References (28)

1. K. Kaneko, Phys. Rev. Lett. 63, 219 (1989)
2. K. KanekoPhysica D 41, 38 (1990).
3. K. Kaneko, Phys. Rev. Lett. 65, 1391 (1990)
4. K. KanekoPhysica D 55, 368 (1992).
5. K. Kaneko, Physica D 54, 5 (1991).PDNPDT
6. G. Perez, C. Pando-L., S. Sinha, and H. A. Cerdeira, Phys. Rev. A 45, 5469 (1992).PLRAAN
7. G. Perez, S. Sinha, and H. A. Cerdeira, Physica D 63, 341 (1993).PDNPDT
8. G. Perez and H. A. Cerdeira, Phys. Rev. A 46, 7492 (1992).PLRAAN
9. S. Sinha, D. Biswas, M. Azam, and S. V. Lawande, Phys. Rev. A 46, 3193 (1992).PLRAAN
10. S. Sinha, D. Biswas, M. Azam, and S. V. Lawande, Phys. Rev. A 46, 6242 (1992).PLRAAN
11. D. Dominguez and H. A. Cerdeira, Phys. Rev. Lett. 71, 3359 (1993).PRLTAO
12. A. Crisanti, M. Falconi, and A. Vulpiani, Phys. Rev. Lett. 76, 612 (1996).PRLTAO
13. See, e.g., D. Amit, Modelling Brain Function: The World of Attractor Neural Nets (Cambridge University Press, Cambridge, 1989).
14. R. Kopelman, Science 241, 1620 (1988).SCIEAS
15. D. L. Turcotte, Fractals and Chaos in Geology and Geophysics (Cambridge University Press, Cambridge, 1992).
16. M. G. Cosenza and R. Kapral, Phys. Rev. A 46, 1850 (1992).PLRAAN
17. P. M. Gade, H. A. Cerdeira, and R. Ramaswamy, Phys. Rev. E 52, 2478 (1995).PLEEE8
18. It has been noticed in certain studies of spatially extended complex systems that synchronous and asynchronous updates give different universality classes of results, see for example: P. Marcq, H. Chate, and P. Manneville, Phys. Rev. Lett. 77, 4003 (1996), which deals with different critical exponents arising in CML’s evolving under synchronous and asynchronous rules
19. R. H. Swendsen and J.-S. Wang, Phys. Rev. Lett. 58, 86 (1987), which deals with dynamical critical exponents in Monte Carlo simulations of equilibrium systems, involving different asynchronous updating schemes.PRLTAO
20. Some references of this rapidly growing field of interest are: L. Pecora and T. M. Caroll, Phys. Rev. Lett. 64, 821 (1990)
21. L. PecoraT. M. CarollPhys. Rev. A 44, 2374 (1991)
22. T. L. Caroll, Phys. Rev. E 50, 2580 (1994); PLEEE8
23. Phys. Rev. EJ. F. Heagy, T. L. Caroll, and L. M. Pecora, 50, 1874 (1994)
24. D. Auerbach, Phys. Rev. Lett. 72, 1184 (1994).PRLTAO
25. S. Thomae and S. Grossmann, J. Stat. Phys. 26, 485 (1981).JSTPBS
26. H. Chate and P. Manneville, Europhys. Lett. 17, 291 (1992)
27. H. ChateP. MannevilleChaos 2, 307 (1992).
28. However, preliminary studies indicate that the emergent qualitative picture obtained from simulations via synchronous and asynchronous updating rules, in the low ε phase, is very similar.