Clustering in a coupled map lattice

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 6, Issue 8, 1996, Pages 1495-1508

  Sbitnev, Valery I ^a  

^a RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030208676     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127496000886     Document Type: Article

References (27)

1. Chaté, H. & Manneville, P. [1988] "Spatio-temporal intermittency in coupled map lattices," Physica D32, 409-422.
2. Chaté, H. & Manneville, P. [1989] "Role of defects in the transition to turbulence via spatiotemporal intermittency," Physica D37, 33-41.
3. Cosenza, M. G. & Kapral, R. [1994] "Spatiotemporal intermittency on fractal lattices," Chaos 4, 99-104.
4. Cross, M. C. & Hohenberg, P. C. [1993] "Pattern formation outside of equilibrium," Rev. Mod. Phys. 65, 851-1112.
5. Freeman, W. J. [1975] Mass Action in the Nervous System (Academic Press, New York).
6. Grassberger, P. & Schreiber, Th. [1991] "Phase transition in coupled map lattices," Physica D50, 177-188.
7. Grossberg, S. [1973] "Contour enhancement, short term memory, and constancies in reverberating neural networks," Studies in Appl. Math. 52, 217-257.
8. Haken, H. [1989] "Synergetics: An overview," Rep. Prog. Phys. 52, 515-553.
9. Haken, H. [1991] Synergetics, Computers, and Cognition. A Top-Down Approach to Neural Nets (Springer-Verlag, Berlin).
10. Holden, A. V. [1976] "Models of the stochastic activity of neurons," Lect. N. Biomath. 12, 286-333.
11. Kaneko, K. [1983] "Transition from torus to chaos accompanied by frequency lockings with symmetry breaking," Prog. Theor. Phys. 69, 1427-1442.
12. Kaneko, K. [1989a] "Pattern dynamics in spatiotemporal chaos. Pattern selection, diffusion of defect and pattern competition intermittency," Physica D34, 1-41.
13. Kaneko, K. [1989b] "Spatiotemporal chaos in one- and two-dimensional coupled map lattices," Physica D37, 60-82.
14. Kaneko, K. [1990a] "Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements," Physica D41, 137-172.
15. Kaneko, K. [1990b] "Globally coupled chaos violates the law of large numbers but not the central-limit theorem," Phys. Rev. Lett. 65, 1391-1394.
16. Lambert, A. & Lima, R. [1994] "Stability of wavelengths and spatiotemporal intermittency in coupled map lattices," Physica D71, 390-411.
17. Losson, J. & Mackey, M. C. [1994] "Coupling induced statistical cycling in two diffusively coupled maps," Physica D 72, 324-342.
18. Nakagawa, N. & Kuramoto, Y. [1993] "Collective chaos in a population of globally coupled oscillators," Prog. Theor. Phys. 89, 313-323.
19. Oppo, G.-L. & Kapral, R. [1986] "Discrete models for the formation and evolution of spatial structure in dissipative systems," Phys. Rev. A33, 4219-4231.
20. Pikovsky, A. S. & J. Kurths, J. [1994] "Do globally coupled maps really violate the law of large numbers?" Phys. Rev. Lett. 72, 1644-1646.
21. Prigogine, I. [1980] From Being to Becoming: Time and Complexity in the Physical Sciences (W. H. Freeman & Co., San Francisco).
22. Sbitnev, V. I. [1984a] "Model representations of stochastic oscillations of a postsynaptic activity," Biofizika 29, 113-116.
23. Sbitnev, V. I. [1984b] "Synchronization of stochastic oscillations," Izv. Vyssh. Uchebn. Zaved. - Radiofizika 27, 938-940.
24. Thompson, J. M. T. & Stewart, H. B. [1993] "A tutorial glossary of geometrical dynamics," Int. J. Bifurcation & Chaos 3, 223-239.
25. Willeboordse, F. H. [1994] "Supertransients and suppressed chaos in the diffusively coupled logistic lattice," Chaos 4, 89-98.
26. Willeboordse, F. H. & Kaneko, K. [1994] "Bifurcations and spatial chaos in an open flow model," Phys. Rev. Lett. 73, 533-536.
27. Wilson, H. R. [1973] "Cooperative phenomena in a homogeneous cortical tissue model," in Synergetics. Cooperative Phenomena in Multi-Component Systems, ed. Haken, H. (B. G. Teubner, Stuttgart), pp. 207-219.