Synchronized states in a ring of mutually coupled self-sustained electrical oscillators

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

Volumn 69, Issue 4 2, 2004, Pages

  Woafo, P ^a   Kadji, H G Enjieu ^b  

^a UNIVERSITY OF YAOUNDÉ I   (Cameroon)

^b Inst de Mathemat/de Sci Physiques   (Benin)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; MICROWAVES; PHASE LOCKED LOOPS; RESISTORS; RUNGE KUTTA METHODS; SYNCHRONIZATION; VAN DER WAALS FORCES;

CENTRAL PATTERN GENERATOR (CPG); FLOQUET THEORY; HOPF BIFURCATIONS; SELF-SUSTAINED ELECTRICAL OSCILLATORS;

OSCILLATORS (ELECTRONIC);

EID: 42749107990     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (28)

1. L. M. Pecora, T. L. Carroll, G. A. Johnson, and D. J. Mar, Chaos 7, 520 (1997).
2. S. Nakata, T. Miyata, N. Ojima, and K. Yoshikawa, Physica D 115, 313 (1998).
3. K. Miyakawa and K. Yamada, Physica D 151, 217 (2001).
4. R. E. Mirollo and S. H. Strogatz, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 50, 1645 (1990).
5. S. H. Strogatz and I. Stewart. Sci. Am. (Int. Ed.) 68, 102 (1993).
6. Y. Kuramoto, Chemical Oscillations, Waves and Turbulence (Springer, Berlin, 1984).
7. P. Reimann, C. Van den Broeck, and R. Kawai, Phys. Rev. E 60, 6402 (1999).
8. Y. Zhang, G. Hu, H. A. Cerdeira, S. Chen, T. Braun, and Y. Yao, Phys. Rev. E 63, 026211 (2001).
9. Y. Chembo Kouomou and P. Woafo, Phys. Rev. E 66, 066201 (2002).
10. Y. Chembo Kouomou and P. Woafo, Phys. Rev. E 67, 046205 (2003).
11. D. Somers and N. Kopell, Biol. Cybern. 68, 393 (1993).
12. D. Somers and N. Kopell, Physica D 89, 169 (1995).
13. T. Ookawara and T. Endo, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 46, 827 (1999).
14. B. Van der Pol, Philos. Mag. 43, 700 (1922).
15. B. Van der Pol, Proc. IRE 22, 1051 (1934).
16. K. Fukui and S. Nogi, IEEE Trans. Microwave Theory Tech. 28, 1059 (1980).
17. K. Fukui and S. Nogi, IEEE Trans. Microwave Theory Tech. 34, 943 (1986).
18. T. Endo and S. Mori, IEEE Trans. Circuits Syst. 23, 100 (1976).
19. B. Robertson-Dunn and D. A. Linkens, J. Med. Biol. Eng. 12, 750 (1974).
20. D. A. Linkens, IEEE Trans. Biomed. Eng. 23, 101 (1976).
21. J. D. Murray, Mathematical Biology (Springer, New York, 1989).
22. T. Endo and S. Mori, IEEE Trans. Circuits Syst. 25, 7 (1978).
23. P. Woafo and R. A. Kraenkel, Phys. Rev. E 65, 036225 (2002).
24. C. Hayashi, Nonlinear Oscillations in Physical Systems (McGraw Hill, New York, 1964).
25. A. H. Nayfeh and D. T. Mook, Nonlinear Oscillations (Wiley-Interscience, New York, 1964).
26. Y. Chembo Kouomou and P. Woafo, Phys. Lett. A 298, 18 (2002).
27. G. Hu, J. Xiao, J. Gao, X. Lie, Y. Yao, and H. Bambi, Phys. Rev. E 62, R3043 (2000).
28. A. G. Balanov, N. B. Janson, D. E. Postnov, and P. V. E. McClintock, Phys. Rev. E 65, 041105 (2002).