Winnerless competition in networks of coupled map neurons

Modern Physics Letters B

Volumn 18, Issue 26-27, 2004, Pages 1347-1366

  Casado, J M ^a   Ibarz, B ^b   Sanjuan M A F ^b  

^a UNIVERSITY OF SEVILLE   (Spain)

^b UNIVERSIDAD REY JUAN CARLOS   (Spain)

Author keywords

Coupled maps; Itinerancy; Neural networks; Synchronization; Winnerless competition

Indexed keywords

BRAIN MAPPING; CHAOTIC DYNAMICS; COMPETITION; COMPUTER SIMULATION; CORTICAL SYNCHRONIZATION; INFORMATION PROCESSING; MOLECULAR DYNAMICS; MOLECULAR STABILITY; NERVE CELL EXCITABILITY; NERVE CELL NETWORK; SHORT SURVEY;

EID: 12544249862     PISSN: 02179849     EISSN: None     Source Type: Journal    
DOI: 10.1142/s021798490400789x     Document Type: Short Survey

References (37)

1. W. J. Freeman, Chaos 13 (2003) 1067.
2. G. Laurent, M. Stopfer, M. Rabinovich, A. Volkovskii and H. D. I. Abarbanel, Annu. Rev. Neurosci. 24 (2001) 263.
3. F. Seliger, L. Tsimring and M. I. Rabinovich, Phys. Rev. E67 (2003) 011905.
4. V. S. Afraimovich, M. I. Rabinovich and P. Varona, Int. J. Bifurcation Chaos 14 (2004) 1195.
5. M. Rabinovich, A. Volkovskii, P. Lecanda, R. Huerta, H. D. I. Abarbanel and G. Laurent, Phys. Rev. Lett. 87 (2001) 068102.
6. J. M. Casado, Phys. Rev. Lett. 91 (2003) 208102.
7. K. Kaneko and I. Tsuda, Chaos 13 (2003) 926.
8. K. Ikeda, K. Matsumoto and K. Otsuka, Prog. Theor. Phys. Suppl. 99 (1989) 295.
9. K. Kaneko, Physica D41 (1990) 137.
10. K. Kaneko, Physica D54 (1991) 5.
11. I. Tsuda, Neural Netw. 5 (1992) 313.
12. G. Tanaka, M. A. F. Sanjuán and K. Aihara, Phys. Rev. E, in press.
13. K. Kaneko (ed.), Theory and Applications of Coupled Map Lattices (Wiley, 1993).
14. See also the focus issue on coupled map lattices, Chaos 2 (1992) 279.
15. T. Chawanya, Physica D109 (1997) 201.
16. D. Hansel, G. Mato and C. Meunier, Phys. Rev. E48 (1993) 3470.
17. K. Kori and Y. Kuramoto, Phys. Rev. E63 (2001) 046214.
18. S. K. Han and D. E. Postnov, Chaos 13 (2003) 1105.
19. P. Ashwin and M. Field, Arch. Ration. Mech. Anal. 148 (1999) 107.
20. C. Gray, A. K. Engel, P. Koenig and W. Singer, Visual Neurosci. 8 (1992) 337.
21. J. J. Hopfield, Proc. Natl. Acad. Sci. USA 79 (1982) 2554.
22. M. Cohen and S. Grossberg, IEEE Trans. Syst. Man Cybern. 13 (1983) 815.
23. M. Bazhenov, M. Stopfer, M. Rabinovich, H. D. I. Abarbanel, T. J. Sejnowski and G. Laurent, Neuron 30 (2001) 569.
24. R. M. May and W. J. Leonard, SIAM J. Appl. Math. 29 (1975) 243.
25. C. W. Chi, S. B. Hsu and L. I. Wu, SIAM J. Appl. Math. 58 (1998) 211.
26. V. S. Afraimovich, S. B. Hu and H. E. Lin, Int. J. Bifurcation Chaos 11 (2001) 435.
27. F. H. Busse and K. E. Heikes, Science 208 (1980) 173.
28. M. Wehr and G. Laurent, Nature 384 (1996) 162.
29. M. Bazhenov, M. Stopfer, M. Rabinovich, R. Huerta, H. D. I. Abarbanel, T. J. Sejnowski and G. Laurent, Neuron 30 (2001) 553.
30. N. F. Rulkov, Phys. Rev. Lett. 86 (2001) 183.
31. N. Rulkov, Phys. Rev. E65 (2002) 041922.
32. A. L. Shilnikov and N. F. Rulkov, Int. J. Bifurcation Chaos 13 (2003) 3325.
33. E. M. Izhikevich, Int. J. Bifurcation Chaos 10 (2000) 1171.
34. J. L. Hindmarsh and R. M. Rose, Nature 296 (1982) 162; Proc. R. Soc. London, Ser. B221 (1984) 87.
35. J. L. Hindmarsh and R. M. Rose, Nature 296 (1982) 162; Proc. R. Soc. London, Ser. B221 (1984) 87.
36. A. Sherman, J. Rinzel and J. Keizer, Biophys. J. 54 (1988) 427.
37. J. M. Casado, B. Ibarz and M. A. F. Sanjuán, unpublished results.