On-off intermittency in small-world networks of chaotic maps

Proceedings - IEEE International Symposium on Circuits and Systems

Volumn , Issue , 2005, Pages 288-291

  Li, Chunguang ^a   Fang, Jin Qing ^b  

^a UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b CHINA INSTITUTE OF ATOMIC ENERGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

AVERAGE DISTANCE; CHAOTIC MAP; CLUSTERED NETWORKS; LAMINAR PHASE; LAMINAR PHASIS; ON-OFF INTERMITTENCY; POWER LAW DISTRIBUTION; SMALL WORLD NETWORKS; SMALL WORLD TOPOLOGY; TECHNOLOGICAL NETWORKS;

LYAPUNOV METHODS;

CHAOTIC SYSTEMS;

EID: 67649171112     PISSN: 02714310     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ISCAS.2005.1464581     Document Type: Conference Paper

References (42)

1. D. J. Watts, Small Worlds: the Dynamics of Networks Between Order and Randomness, Princeton University Press, 1999.
2. S.H. Strogatz, "Exploring complex networks", Nature, Vol.410, pp.268- 276, Mar., 2001.
3. R. Albert and A.L. Barabási, "Statistical mechanics of complex networks", Review of Modern Physics, Vol.74, pp.47-91, Jan., 2002.
4. X.F. Wang, G. Chen, "Complex networks: small-world, scale-free, and beyond", IEEE Circuits and Systems Magazine, Vol.3, No.1, pp. 6-20, 2003.
5. Dorogovtsev and J.F.F. Mendes, "Evolution of Networks", Adv. in Phys., Vol. 51, pp. 1079-1187, 2002.
6. M.E.J. Newman, "The Structure and functions of complex networks", SIAM Rev., Vol. 45, pp. 167-256, 2003.
7. D.J. Watts, and S.H. Strogatz, "Collective dynamics of small-world networks", Nature, Vol.393, pp.440-442, 1998.
8. H. Hong, M.Y. Choi, and B.J. Kim, "Synchronization on small-world networks", Phys. Rev. E, Vol. 65, 026139, 2002.
9. M. Barahona, and L.M. Pecora, "Synchronization in small-world systems", Phys. Rev. Lett., Vol. 89, 054101, 2002.
10. P. M. Gade, and C. K. Hu, "Synchronous chaos in coupled map lattices with small-world interactions", Phys. Rev. E, Vol. 62, pp. 6409-6413, 2000.
11. X.F. Wang, and G. Chen, "Synchronization in small-world dynamical networks", Int. J. Bifur. Chaos, Vol. 12, pp. 187-192, 2002.
12. C. Li, H. Xu, X. Liao, and J. Yu, "Synchronization in small-world oscillator networks with coupling delays", Physica A, Vol. 335, pp. 359- 364, 2004;
13. C. Li, S. Li, X. Liao, and J. Yu, "Synchronization in coupled map lattices with small-world delayed interactions", Physica A, Vol. 335, pp. 365- 370, 2004.
14. J. Lü, X. Yu, "Chaos synchronization of general complex dynamical networks", Physica A, Vol.334, pp.281-302, 2004.
15. J.Lü, X. Yu, G. Chen, D. Cheng, "Characterizing the synchronizability of small-world dynamical networks", IEEE Trans. on Cir. Syst.-I, Vol. 51, pp. 787-796, 2004.
16. M.G. Earl, S.H. Strogatz, "Synchronization in oscillator networks with delayed coupling: A stability criterion", Phys. Rev. E, Vol.67, 036204, 2003.
17. C. Li, G. Chen, "Phase synchronization in small-world networks of chaotic oscillators", Physica A, Vol. 341, pp. 73-79, 2004. 28.
18. C. Li, G. Chen, "Synchronization in complex dynamical networks with coupling delays", Physica A, Vol. 343, pp.263-278, 2004.
19. X.Li, G. Chen, "Synchronization and desynchronization of complex dynamical networks- An engineering viewpoint", IEEE Trans. CAS-I, Vol.50, pp.1381-1390, 2003.
20. X.S. Yang, "Chaos in small-world networks", Phys. Rev. E, Vol. 63, 046206, 2001.
21. X.S. Yang, "Fractals in small-world networks with time-delay", Chaos, Solitons and Fractals, Vol. 13, pp. 215-219, 2002.
22. C. Li and G. Chen, "Local Stability and Hopf Bifurcation in Delayed Small-World Networks", Chaos, Solitons, Fractals, Vol.20, No.2, pp.353-361, 2004.
23. L. de Arcangelis and H.J. Herrmann, "Self-organized criticality on small world networks", Physica A, Vol. 308, 545-549, 2002.
24. M.G. Cosenza and K. Tucci, "Turbulence in small-world networks", Phys. Rev. E, Vol. 63, 036223, 2002.
25. Z. Hou and H. Xin, "Oscillator death on small-world networks", Phys. Rev. E, Vol. 68, 055103, 2003.
26. Z. Gao, B. Hu, G. Hu, "Stochastic resonance of small-world networks", Phys. Rev. E, Vol. 65, 016209, 2002.
27. L.F. Lago-Fernández, R. Huerta, F. Corbacho, and J.A. Sigüenza, "Fast Response and Temporal Coherent Oscillations in Small-World Networks", Phys. Rev. Lett., Vol. 84, pp. 2758-2761, 2000).
28. C. Li and G. Chen, "Stability of a neural network model with smallworld connections", Phys. Rev. E, Vol.68, 052901, 2003.
29. C. Aguirre, R. Huerta, F. Corbacho, and P. Pascual, "Analysis of Biologically Inspired Small-World Networks", Lecture Notes in Computer Science, Vol.2415, pp.27-32, 2002.
30. N. Platt, E.A. Spiegel, C. Tresser, "On-off intermittency: a mechanism for bursting", Phys. Rev. Lett., Vol.70, pp.279-282, 1993.
31. J.F. Heagy, N. Platt, and S.M. Hammel, "Characterization of on-off intermittency", Phys. Rev. E, Vol. 49, pp.1140-1150, 1994.
32. P.W. Hammer, N. Platt, S.M. Hammel et.al, "Experimental observation of on-off intermittency", Phys. Rev. Lett, Vol. 73, pp.1095-1098, 1994.
33. H.L. Yang, E.J. Ding, "On-off intermittency in random map lattices", Phys. Rev. E, Vol. 50, pp.3295-3298, 1994.
34. Y.Y. Hun, D.C. Kim, K. Kwak, T.K. Lim, W. Jung, "On-off intermittency in a quasiperiodic driven nonlinear oscillator", Phys. Lett. A, Vol. 247, pp.70-74, 1998.
35. A. Krawiechi, R.A. Kosinski, "On-Off Intermittency in Small Neural Networks with Time-Dependent Synaptic Noise", Int. J. Bifur. Chaos, Vol. 9, pp.97-105, 1999.
36. F. Xie, G. Hu, and Z. Qu, "On-off intermittency in a coupled-map lattice system", Phys. Rev. E, Vol. 52, pp.1265-1268, 1995.
37. M. Ding and W. Yang, "Stability of synchronous chaos and on-off intermittency in coupled map lattice", Phys. Rev. E, Vol. 56, pp.4009- 4016, 1997.
38. M.E.J. Newman, D.J. Watts, "Scaling and percolation in the small-world network model", Phys. Rev. E, Vol.60, pp.7332-7342, 1999.
39. K. Kaneko (Ed.), Theory and Applications of Coupled Map Lattices, John Wiley & Sons, New York, 1993.
40. J.-Q. Fang and M. K. Ali, "Control and Synchronization of Spatiotemporal Chaos", in Controlling Chaos and Befurcation in Engineering Systems Edited by G. R. Chen, CRC press, New York, USA, pp107- 130, 2000.
41. J.-Q. Fang, M. K. Ali, "Nonlinear feedback control of spatiotemporal chaos in coupled map lattices", Disc. Dyn. In Natu and Soci, Vol. 1,pp. 283-305, 1998.
42. J.-Q. Fang, M. K. Ali, "Synchronization of spatiotemporal chaos in coupled map lattices using nonlinear feedback functions", Nucl. Scin. Tech, Vol. 8, pp. 193-199, 1997.