Synchronous chaos in coupled map lattices with small-world interactions

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

Volumn 62, Issue 5, 2000, Pages 6409-6413

  Gade, Prashant M ^a   Hu, Chin Kun ^a  

^a INSTITUTE OF PHYSICS   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NONLINEAR CONTROL SYSTEMS; SPECTRUM ANALYSIS; SYNCHRONIZATION; SYSTEM STABILITY; THERMODYNAMIC STABILITY;

COUPLED MAP LATTICES (CML); SYNCHRONOUS CHAOS;

CHAOS THEORY;

EID: 0034316686     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.62.6409     Document Type: Article

References (19)

1. See, for example, B. Mensour and A. Longtin, Phys. Rev. E 58, 410 (1998).
2. See, for example, C. R. de Oliveira and P. S. Goncalves, Phys. Rev. E 56, 4868 (1997).
3. See, for example, R. M. May, Nature (London) 261, 151 (1976).
4. J. P. Crutchfield and K. Kaneko, in Directions in Chaos, edited by Hao Bai-Lin (World Scientific, Singapore, 1987), and references therein.
5. K. Kaneko, Phys. Rev. Lett. 65, 1391 (1990), and references therein.
6. P. M. Gade and R. E. Amritkar, Phys. Rev. E 47, 143 (1993).
7. P. M. Gade, H. Cerdeira, and R. Ramaswamy, Phys. Rev. E 52, 2478 (1995).
8. P. M. Gade, Phys. Rev. E 54, 64 (1996).
9. S. Raghavachari and J. A. Glazier, Phys. Rev. Lett. 74, 3297 (1995).
10. H. Chate and P. Manneville, Prog. Theor. Phys. 87, 1 (1992).
11. D. H. Zanette, Europhys. Lett. 45, 424 (2000).
12. D. J. Watts and S. H. Strogatz, Nature (London) 393, 440 (1998).
13. P. M. Gade and C.-K. Hu, Phys. Rev. E 60, 4966 (1999).
14. S. C. Manrubia and A. S. Mikhailov, Phys. Rev. E 60, 1579 (1999).
15. See also L. M. Pecora and T. L. Caroll, Phys. Rev. Lett. 80, 2109 (1998) for a similar treatment of oscillator arrays.
16. For recent work, see K. S. Fink , Phys. Rev. E 61, 5080 (2000).
17. M. E. J. Newman and D. J. Watts, e-print cond-mat/9904419.
18. R. Monasson, e-print cond-mat/9903347.
19. K. Y. Tsang and K. Wiesenfeld, Appl. Phys. Lett. 56, 495 (1990).