Synchronization and symmetry-breaking bifurcations in constructive networks of coupled chaotic oscillators

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

Volumn 68, Issue 6 2, 2003, Pages 652011-652014

  Jiang, Yu ^a,b   Lozada Cassou, M ^b   Vinet, A ^c  

^a DEPARTAMENTO DE QUÍMICA   (Mexico)

^b INSTITUTO MEXICANO DEL PETRÓLEO   (Mexico)

^c UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; COUPLED CIRCUITS; EIGENVALUES AND EIGENFUNCTIONS; LYAPUNOV METHODS; NEURAL NETWORKS; NONLINEAR SYSTEMS; NUMERICAL ANALYSIS; OSCILLATORS (ELECTRONIC); RANDOM PROCESSES;

CONSTRUCTIVE NETWORKS; COUPLED CHAOTIC OSCILLATORS; NETWORK TOPOLOGIES; SPATIOTEMPORAL DYNAMICS;

ELECTRIC NETWORK TOPOLOGY;

EID: 1442330470     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. H. Fujisaka and T. Yamada, Prog. Theor. Phys. 69, 32 (1983).
2. Optical instability, edited by C.M. Bowden, M. Ciftan, and J. R. Roble (Plenum, New York, 1981).
3. J.P. Laplante and T. Erneux, J. Phys. Chem. 96, 4931 (1992).
4. J.D. Murry, Mathematical Biology (Springer-Verlag, New York, 1993).
5. L.H. Hartwell, J.J. Hopfield, S. Leibler, and A.W. Murray, Nature (London) 402, C47 (1999).
6. U.S. Bhalla and R. Iyengar, Science 283, 381 (1999).
7. S.H. Strogatz, Nature (London) 410, 268 (2001).
8. J.F. Heagy, T.L. Carroll, and L.M. Pecora, Phys. Rev. E 50, 1874 (1994); J.F. Heagy, L.M. Pecora, and T.L. Carroll, Phys. Rev. Lett. 74, 4185 (1995).
9. J.F. Heagy, T.L. Carroll, and L.M. Pecora, Phys. Rev. E 50, 1874 (1994); J.F. Heagy, L.M. Pecora, and T.L. Carroll, Phys. Rev. Lett. 74, 4185 (1995).
10. L.M. Pecora and T.L. Carroll, Phys. Rev. Lett. 80, 2109 (1998).
11. M. Zhan, G. Hu, and J. Yang, Phys. Rev. E 62, 2963 (2000); Y. Zhang, G. Hu, H.A. Cerdeira, S. Chen, T. Braun, and Y. Yao, ibid. 63, 026211 (2001).
12. M. Zhan, G. Hu, and J. Yang, Phys. Rev. E 62, 2963 (2000); Y. Zhang, G. Hu, H.A. Cerdeira, S. Chen, T. Braun, and Y. Yao, ibid. 63, 026211 (2001).
13. M. Barahona and L.M. Pecora, Phys. Rev. Lett. 88, 054101 (2002).
14. D.J. Watts and S.H. Strogatz, Nature (London) 393, 440 (1998).
15. R.V. Solé and S.C. Manrubia, Phys. Rev. E 54, R42 (1996).
16. M. Kuperman and G. Abramson, Phys. Rev. Lett. 86, 2609 (2001).
17. L.F. Lago et al., Phys. Rev. Lett. 84, 2758 (2000).
18. M. Golubitsky and I. Stewart, Contemp. Math. 56, 131 (1986).
19. M. Golubitsky, I. Stewart, and D. Schaeffer, Singularities and Groups in Bifurcation Theory (Springer, Berlin, 1988), Vol. II.
20. Y. Chen, G. Rangarajan, and M. Ding, Phys. Rev. E 67, 026209 (2003); G. Rangarajan, Y. Chen, and M. Ding, Phys. Lett. A 310, 415 (2003); K. Fink, G. Johnson, D. Mar, T. Carroll, and L. Pecora, Phys. Rev. E 61, 5080 (2000).
21. Y. Chen, G. Rangarajan, and M. Ding, Phys. Rev. E 67, 026209 (2003); G. Rangarajan, Y. Chen, and M. Ding, Phys. Lett. A 310, 415 (2003); K. Fink, G. Johnson, D. Mar, T. Carroll, and L. Pecora, Phys. Rev. E 61, 5080 (2000).
22. Y. Chen, G. Rangarajan, and M. Ding, Phys. Rev. E 67, 026209 (2003); G. Rangarajan, Y. Chen, and M. Ding, Phys. Lett. A 310, 415 (2003); K. Fink, G. Johnson, D. Mar, T. Carroll, and L. Pecora, Phys. Rev. E 61, 5080 (2000).
23. I. Melbourne, Dyn. Stab. Syst. 1, 293 (1986).