Spatial periodic synchronization of chaos in coupled ring and linear arrays of chaotic systems

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

Volumn 65, Issue 5, 2002, Pages

  Deng, X L ^a   Huang, H B ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; LYAPUNOV METHODS; NONLINEAR SYSTEMS; OSCILLATORS (ELECTRONIC); SYNCHRONIZATION;

CHAOS SYNCHRONIZATION; CHAOTIC OSCILLATORS; CHAOTIC SYSTEMS; LINEAR ARRAYS; SPATIAL PERIODIC SYNCHRONIZATION;

CHAOS THEORY;

EID: 41349117556     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.055202     Document Type: Article

References (25)

1. H. Fujisaka and T. Yamada, Prog. Theor. Phys. 69, 32 (1983).
2. L.M. Pecora and T.L. Carroll, Phys. Rev. Lett. 64, 821 (1990).
3. L.M. Pecora and T.L. Carroll, Phys. Rev. A 44, 2374 (1991).
4. T.L. Carroll and L.M. Pecora, Physica D 67, 126 (1993).
5. Meng Zhan et al., Phys. Rev. Lett. 86, 1510 (2001); in this reference a generalized periodic splay state is found for weak coupling as t→∞.
6. E. Allaria et al., Phys. Rev. Lett. 86, 791 (2001).
7. T. Heil et al., Phys. Rev. Lett. 86, 795 (2001).
8. L. Kocarev and U. Parlitz, Phys. Rev. Lett. 76, 1816 (1996).
9. M.G. Rosenblum, A.S. Pikovsky, and J. Kurths, Phys. Rev. Lett. 76, 1804 (1996).
10. M.G. Rosenblum, A. Pikovsky, and J. Kurths, Phys. Rev. Lett. 78, 4193 (1997).
11. A.M. Turing, Philos. Trans. R. Soc. London, Ser. B 237, 37 (1952).
12. J.J. Collins and I. Stewart, Biol. Cybern. 35, 95 (1994).
13. J. Güémz and M.A. Matías, Phys. Rev. E 52, R2145 (1995).
14. M.A. Matías et al., Phys. Rev. Lett. 78, 219 (1997).
15. M.A. Matías and J. Güémz, Phys. Rev. Lett. 81, 4124 (1998).
16. I.P. Mariño et al., Physica D 128, 224 (1999).
17. E. Sánchez and M.A. Matías, Int. J. Bifurcation Chaos Appl. Sci. Eng. 9, 2335 (1999).
18. J.F. Heagy, T.L. Carroll, and L.M. Pecora, Phys. Rev. E 50, 1874 (1994).
19. I.P. Mariño et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, 1733 (1998).
20. J. Güémz and M.A. Matías, Phys. Rev. E 53, 3059 (1996).
21. K.M. Cuomo and A.V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993).
22. J. Garcia-Ojalvo and R. Roy, Phys. Rev. Lett. 86, 5204 (2001), and references therein.
23. L.O. Chua and L. Yang, IEEE Trans. Circuits Syst. 35, 1257 (1988).
24. O.E. Rössler, Phys. Lett. 37A, 397 (1976).
25. J.F. Lindner et al., Phys. Rev. Lett. 81, 5048 (1998).