Bifurcations in globally coupled chaotic maps

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 211, Issue 5, 1996, Pages 258-264

  Morita, Satoru ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

Bifurcation; Chaos; Collective behavior; Frobenius Perron equation; Globally coupled maps

Indexed keywords

CHAOS THEORY; CHAOTIC SYSTEMS; NONLINEAR EQUATIONS; PIECEWISE LINEAR TECHNIQUES;

CHAOTIC ELEMENTS; COLLECTIVE BEHAVIOR; FROBENIUS-PERRON EQUATION; GLOBALLY COUPLED MAP; LARGE SYSTEM SIZE; PIECEWISE LINEAR; STABILITY ANALYSIS; STATIONARY STATE;

BIFURCATION (MATHEMATICS);

EID: 0000150852     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/0375-9601(96)00012-6     Document Type: Article

References (26)

1. K. Wiesenfeld and P. Hadley, Phys. Rev. Lett. 62 (1989) 1335.
2. K. Wiesenfeld, C. Bracikowski, G. James and R. Roy, Phys. Rev. Lett. 65 (1990) 1749.
3. S.H. Strogatz, C.M. Marcus, R.M. Westervelt and R.E. Mirollo, Physica D 36 (1989) 23.
4. T. Ikegami and K. Kaneko, Chaos 2 (1992) 397.
5. H. Somplinsky, D. Golomb and D. Kleinfeld, Phys. Rev. A 43 (1991) 6990.
6. D. Golomb, D. Hansel, B. Sharaiman and H. Sompolinsky, Phys. Rev. A 45 (1992) 3516.
7. K. Kaneko, Physica D 77 (1994) 456.
8. H. Nozawa, Chaos 2 (1992) 377.
9. Y. Kuramoto, Prog. Theor. Phys. Suppl. 79 (1984) 223.
10. K. Kaneko, Physica D 34 (1989) 1.
11. H. Chaté and P. Manneville, Europhys. Lett. 17 (1992) 291: Prog. Theor. Phys. 87 (1992) 1.
12. H. Chaté and P. Manneville, Europhys. Lett. 17 (1992) 291: Prog. Theor. Phys. 87 (1992) 1.
13. K. Kaneko, Physica D 41 (1990) 137.
14. K. Kaneko, Physica D 55 (1992) 368.
15. W. Just, J. Stat. Phys. 79 (1995) 429; Physica D 81 (1995) 317.
16. W. Just, J. Stat. Phys. 79 (1995) 429; Physica D 81 (1995) 317.
17. A.S. Pikovsky and J. Kurths, Physica D 76 (1994) 411; Phys. Rev. Lett. 72 (1994) 1644.
18. A.S. Pikovsky and J. Kurths, Physica D 76 (1994) 411; Phys. Rev. Lett. 72 (1994) 1644.
19. K. Kaneko, Phys. Rev. Lett. 65, (1990) 1391.
20. K. Kaneko, Proc. "Gran Finale" conference, Como (1993).
21. G. Perez, S. Sinha and A. Cerdeira, Physica D 63 (1993) 341.
22. G. Perez and A. Cerdeira, Phys. Rev. A 46 (1992) 7492.
23. S. Sinha, D. Biswas, M. Azam and S.V. Lawande, Phys. Rev. A 46, (1992) 6242; Phys. Rev. Lett. 69 (1992) 3306.
24. S. Sinha, D. Biswas, M. Azam and S.V. Lawande, Phys. Rev. A 46, (1992) 6242; Phys. Rev. Lett. 69 (1992) 3306.
25. M. Dörfle, J. Stat. Phys. 40 (1985) 93.
26. M. Ding and L.T. Wille, Phys. Rev. E 48 (1993) 1608.