Bifurcation analysis in an associative memory model

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 4 2, 2004, Pages

  Kawamura, Masaki ^a   Tokunaga, Ryuji ^b   Okada, Masato ^c  

^a YAMAGUCHI UNIVERSITY   (Japan)

^b UNIVERSITY OF TSUKUBA   (Japan)

^c RIKEN BRAIN SCIENCE INSTITUTE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); EIGENVALUES AND EIGENFUNCTIONS; LYAPUNOV METHODS; MATHEMATICAL MODELS; NEURAL NETWORKS; PROBABILITY; RANDOM PROCESSES; THERMAL NOISE;

BIFURCATION ANALYSIS; HOPF BIFURCATION; PATHI-INTEGRAL METHOD; SEQUENTIAL ASSOCIATIVE MEMORY MODEL;

CHAOS THEORY;

EID: 41349108259     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.046210     Document Type: Article

References (33)

1. K. Kaneko, Phys. Rev. Lett. 63, 219 (1989).
2. K. Aihara, T. Takabe, and M. Toyoda, Phys. Lett. A 144, 333 (1990).
3. M. Adachi and K. Aihara, Neural Networks 10, 83 (1997).
4. T. Shibata and K. Kaneko, Phys. Rev. Lett. 81, 4116 (1998).
5. T. Fukai and M. Shiino, Phys. Rev. Lett. 64, 1465 (1990).
6. S. Nara and P. Davis, Phys. Rev. E 55, 826 (1997).
7. C. van Vreeswijk and H. Sompolinsky, Science 274, 1724 (1996); Neural Comput. 10, 1321 (1998).
8. C. van Vreeswijk and H. Sompolinsky, Science 274, 1724 (1996); Neural Comput. 10, 1321 (1998).
9. M. Kawamura, R. Tokunaga, and M. Okada, Europhys. Lett. 62, 657 (2003).
10. I. Tsuda, Neural Networks 5, 313 (1992).
11. K. Matsumoto and I. Tsuda, J. Stat. Phys. 31, 87 (1983).
12. T. Shibata, T. Chawanya, and K. Kaneko, Phys. Rev. Lett. 82, 4424 (1999).
13. H. Bersini and V. Calenbuhr, Chaos, Solitons Fractals 5, 1533 (1995); J. Theor. Biol. 188, 187 (1997).
14. H. Bersini and V. Calenbuhr, Chaos, Solitons Fractals 5, 1533 (1995); J. Theor. Biol. 188, 187 (1997).
15. H. Bersini, Neural Networks 11, 1017 (1998).
16. H. Bersini and P. Sener, Neural Networks 15, 1197 (2002).
17. H. Sompolinsky, A. Crisanti, and H. J. Sommers, Phys. Rev. Lett. 61, 259 (1988).
18. S. Amari, IEEE Trans. Neural Netw. 1, 633 (1988).
19. A. During, A. C. C. Coolen, and D. Sherrington, J. Phys. A 31, 8607 (1998).
20. K. Katayama and T. Horiguchi, J. Phys. Soc. Jpn. 70, 1300 (2001).
21. M. Kawamura and M. Okada, J. Phys. A 35, 253 (2002).
22. H. Rieger, in Advances in Computer Simulation, edited by J. Kertesz and I. Kondor, Lecture Notes in Physics Vol. 501 (Springer-Verlag, Heidelberg, 1998), pp. 122.
23. M. Morita, Neural Networks 6, 115 (1993).
24. M. Shiino and T. Fukai, J. Phys. A 26, L831 (1993).
25. M. Okada, Neural Networks 9, 1429 (1996).
26. S. Amari and K. Maginu, Neural Networks 1, 63 (1988).
27. H. Nishimori and I. Opris, Neural Networks 6, 1061 (1993).
28. M. Okada, Neural Networks 8, 833 (1995).
29. M. Kawamura, M. Okada, and Y. Hirai, IEEE Trans. Neural Netw. 10, 704 (1999).
30. C. De Dominicis and L. Peliti, Phys. Rev. B 18, 353 (1978).
31. C. De Dominicis, Phys. Rev. B 18, 4913 (1978).
32. F. R. Marotte, J. Math. Anal. Appl. 63, 199 (1978).
33. C. Grebogi, E. Ott, and J. A. Yorke, Phys. Rev. Lett. 48, 1507 (1982).