Globally and randomly coupled Ginzburg-Landau maps

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

Volumn 56, Issue 1 SUPPL. A, 1997, Pages 99-111

  Uchiyama, Satoki ^a   Fujisaka, Hirokazu ^a  

^a KYUSHU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243829900     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/physreve.56.99     Document Type: Article

References (49)

1. Y. Kuramoto, Chemical Oscillators, Waves, and Turbulence (Springer, Berlin, 1984).
2. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 854 (1993).
3. S. H. Strogatz, Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering (Addison-Wesley, Reading. MA, 1994).
4. R. Eckhorn et at., Biol. Cybern. 60, 121 (1988).
5. C. M. Gray, P. König, A. K. Engel, and W. Singer, Nature (London) 338, 334 (1989).
6. E. Vaadia et al, Nature (London) 373, 515 (1995).
7. Y. Kuramoto, in Proceedings of the Symposium on Mathemati-cal Problems in Theoretical Physics, edited by H. Araki, Lecture Notes in Physics Vol. 39 (Springer, New York, 1975).
8. V. Hakim and W.-J. Rappel, Phys. Rev. A 46, R7347 (1992); Europhys. Lett. 27, 637 (1994).
9. V. Hakim and W.-J. Rappel, Phys. Rev. A 46, R7347 (1992); Europhys. Lett. 27, 637 (1994).
10. N. Nakagawa and Y. Kuramoto, Prog. Theor. Phys. 89, 313 (1993); Physica D 75, 74 (1994); 80, 307 (1995).
11. N. Nakagawa and Y. Kuramoto, Prog. Theor. Phys. 89, 313 (1993); Physica D 75, 74 (1994); 80, 307 (1995).
12. N. Nakagawa and Y. Kuramoto, Prog. Theor. Phys. 89, 313 (1993); Physica D 75, 74 (1994); 80, 307 (1995).
13. P. C. Matthews and S. H. Strogatz, Phys. Rev. Lett. 65, 1701 (1990); P. C. Matthews, R. E. Mirollo, and S. H. Strogatz, Physica D 52, 293 (1991).
14. P. C. Matthews and S. H. Strogatz, Phys. Rev. Lett. 65, 1701 (1990); P. C. Matthews, R. E. Mirollo, and S. H. Strogatz, Physica D 52, 293 (1991).
15. Y. Kuramoto and I. Nishikawa, J. Stat. Phys. 49, 569 (1987).
16. H. Daido, J. Stat. Phys. 60, 753 (1990); Physica D 91, 24 (1996).
17. H. Daido, J. Stat. Phys. 60, 753 (1990); Physica D 91, 24 (1996).
18. S. H. Strogatz and R. E. Mirollo, J. Stat. Phys. 63, 613 (1991).
19. K. Okuda, Physica D 63, 424 (1993).
20. S. Watanabe and S. H. Strogatz, Phys. Rev. Lett. 70, 2391 (1993).
21. H. Daido, Prog. Theor. Phys. 75, 1460 (1986); J. Phys. A 20, L629 (1987).
22. H. Daido, Prog. Theor. Phys. 75, 1460 (1986); J. Phys. A 20, L629 (1987).
23. K. Kaneko, Physica D 54, 5 (1991).
24. H. Daido, Prog. Theor. Phys. 77, 622 (1987).
25. H. Daido, Phys. Rev. Lett. 68, 1073 (1992).
26. K. Satoh, J. Phys. Soc. Jpn. 58, 2010 (1989).
27. L. L. Bonilla, C. J. Pérez Vicente, and J. M. Rubí, J. Stat. Phys. 70, 921 (1993).
28. Y. Kuramoto, Prog. Theor. Phys. Suppl. 79, 719 (1981).
29. A. J. Noest, in Proceedings of the IEEE Conference on Neural Information Processing Systems, Neural and Synthetic, Denver, 1987, edited by D. Z. Anderson (AIP, New York, 1987); Europhys. Lett. 6, 469 (1988); Phys. Rev. A 38, R2196 (1988).
30. A. J. Noest, in Proceedings of the IEEE Conference on Neural Information Processing Systems, Neural and Synthetic, Denver, 1987, edited by D. Z. Anderson (AIP, New York, 1987); Europhys. Lett. 6, 469 (1988); Phys. Rev. A 38, R2196 (1988).
31. A. J. Noest, in Proceedings of the IEEE Conference on Neural Information Processing Systems, Neural and Synthetic, Denver, 1987, edited by D. Z. Anderson (AIP, New York, 1987); Europhys. Lett. 6, 469 (1988); Phys. Rev. A 38, R2196 (1988).
32. K. Okuda (unpublished).
33. T. Yamada and H. Fujisaka, Prog. Theor. Phys. 70, 1240 (1983); 72, 885 (1984).
34. T. Yamada and H. Fujisaka, Prog. Theor. Phys. 70, 1240 (1983); 72, 885 (1984).
35. (j).
36. D. J. Amit, Modeling Brain Function (Cambridge University Press, Cambridge, 1989).
37. W. S. McCullock and W. A. Pitts, Bull. Math. Biophys. 5, 115 (1943).
38. D. Sherrington and S. Kirkpatrick, Phys. Rev. Lett. 35, 1792 (1975); S. Kirkpatrick and D. Sherrington, Phys. Rev. B 17, 4384 (1978).
39. D. Sherrington and S. Kirkpatrick, Phys. Rev. Lett. 35, 1792 (1975); S. Kirkpatrick and D. Sherrington, Phys. Rev. B 17, 4384 (1978).
40. -1=O is meaningful.
41. N. G. van Kampen, Stochastic Process in Physics and Chemistry (North-Holland, Amsterdam, 1981).
42. The concept 'Oscillator glass" was first introduced by Daido [18] in his coupled oscillator system with the frustrated interactions leading to in-phase or anti-phase oscillators. The present disordered phase is an example of oscillator glass.
43. 2 ≠ 0.
44. M. Gabay and G. Toulouse, Phys. Rev. Lett. 47, 201 (1981).
45. D. M. Cragg, D. Sherrington, and M. Gabay, Phys. Rev. Lett. 49, 158 (1982).
46. -1 = 0 as mentioned in [30].
47. H. Sakaguchi, Phys. Lett. A 174, 289 (1993).
48. T. Aoyagi, Phys. Rev. Lett. 74, 4075 (1995).
49. S. Miyashita and H. Shiba, J. Phys. Soc. Jpn. 53, 1145 (1984).