Heterogeneity-induced order in globally coupled chaotic systems

Europhysics Letters

Volumn 38, Issue 6, 1997, Pages 417-422

  Shibata, T ^a   Kaneko, K ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031579921     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i1997-00261-y     Document Type: Article

References (20)

1. KANEKO K., Phys. Rev. Lett., 63 (1989) 219; Physica D, 41 (1990) 38.
2. KANEKO K., Phys. Rev. Lett., 63 (1989) 219; Physica D, 41 (1990) 38.
3. WIESENFELD K. and HADLEY P., Phys. Rev. Lett., 62 (1989) 1335.
4. BRACIKOWSKI C. and ROY R., Chaos, 1 (1991) 49; ARECCHI F. T., Chaos, 1 (1991) 357.
5. BRACIKOWSKI C. and ROY R., Chaos, 1 (1991) 49; ARECCHI F. T., Chaos, 1 (1991) 357.
6. KANEKO K., Physica D, 75 (1994) 55, and references cited therein.
7. NAKAGAWA N. and KURAMOTO Y., Physica D, 75 (1994) 74.
8. KANEKO K., Physica D, 55 (1992) 368; 86 (1995) 158.
9. KANEKO K., Physica D, 55 (1992) 368; 86 (1995) 158.
10. PEREZ G. et al., Physica D, 63 (1993) 341.
11. PIKOVSKY A. S. and KURTHS J., Phys. Rev. Lett., 72 (1994) 1644.
12. KURAMOTO Y., Lect. Notes Phys., Vol. 39 (Springer, New York) 1975, p. 420.
13. PIKOVSKY A. S., ROSENBLUM M. G. and KURTHS J., Europhys. Lett., 34 (1996) 165. They discuss a globally coupled system of heterogeneous Rössler equations, focused on the synchronization, in contrast with collective dynamics in the present letter.
14. CHATÉ H. and MANNEVILLE P., Prog. Theor. Phys., 87 (1992) 1.
15. KANEKO K., Collapse of Tori and Genesis of Chaos in Dissipative Systems (World Scientific Publisher) 1986.
16. IKEDA K., MATSUMOTO K. and OTSUKA K., Prog. Theor. Phys. Suppl., 99 (1989) 295; TSUDA I., World Futures, 32 (1992) 313.
17. IKEDA K., MATSUMOTO K. and OTSUKA K., Prog. Theor. Phys. Suppl., 99 (1989) 295; TSUDA I., World Futures, 32 (1992) 313.
18. k, although this doubling is irrelevant to the following arguments. For example, the period is 6 for fig. 2 a).
19. n as in the present case, the 3rd iterate y = fδ3(fδ2(fδ1 (x))) is tangential to y = x only at one point, unless there is a certain restriction to the external field δ. In other words, one specific phase of the period-3 oscillation is selected in accordance with the external parameter.
20. Within a small parameter region between locking state (fig. 2 a)) and quasi-periodic state (fig. 2 b)), the two attractors coexist depending on the initial conditions.