Complex network topologies and synchronization

Proceedings - IEEE International Symposium on Circuits and Systems

Volumn , Issue , 2006, Pages 2641-2644

  Checco, Paolo ^a   Biey, Mario ^a   Vattay, Gábor ^b   Kocarev, Ljupco ^c  

^a POLITECNICO DI TORINO   (Italy)

^b INSTITUTE FOR ADVANCED STUDY   (Hungary)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC NETWORK TOPOLOGY; GRAPH THEORY; LAPLACE EQUATION; NETWORKS (CIRCUITS); OSCILLATORS (ELECTRONIC);

CLASSICAL RANDOM GRAPHS; COMPLEX NETWORK TOPOLOGIES; COUPLING MATRIX; LAPLACIAN MATRIX;

SYNCHRONIZATION;

EID: 34547279505     PISSN: 02714310     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (17)

1. D. J. Watts and S. H. Strogatz, "Collective dynamics of 'small-world' networks." Nature, vol. 393. pp. 440-442, 1998.
2. A. L. Barabasi and R. Albert, "Emergence of scaling in random networks," Science, vol. 286, pp. 509-512, 1999.
3. R. Albert and A. L. Barabasi, "Statistical mechanics of complex networks," Rev. Mod. Phys., vol. 74, pp. 47-97, 2002.
4. S. Strogatz, Sync: The Emerging Science of Spontaneous Order. New York: Hyperion, 2003.
5. L. Kocarev, P. Checco, G. M. Maggio, and M. Biey, "Synchronization in complex network topologies," IEEE Trans. Circ. Syst. I, submitted for publication.
6. L. Pecora and T. Carroll, "Master stability functions for synchronized coupled systems," Phys. Rev. Letters, vol. 80, pp. 2109-2112, 1998.
7. K. S. Fink, G. Johnson. T. Carroll, D. Mar, and L. Pecora, "Three coupled oscillators as a universal probe of synchronization stability in coupled oscillator arrays," Phys. Rev. E, vol. 61, pp. 5080-5090, 2000.
8. M. Barahona and L. M. Pecora, "Synchronization in small-world systems," Phys. Rev. Letters, vol. 89, pp. 054 101 (1-4), 2002.
9. P. Checco, L. Kocarev, G. M. Maggio, and M. Biey, "On the synchronization region in networks of coupled oscillators," in Proc. IEEE ISCAS, vol. IV, Vancouver, Canada, May 23 - 26, 2004, pp. 800-803.
10. T. Stojanovski, L. Kocarev, U. Parlitz, and R. Harris, "Sporadic driving of dynamical systems," Phys. Rev. E, vol. 55, pp. 4035-4048, 1997.
11. P. Erdo″s and A. Rényi, "On random graphs," Publ. Math Debrecen, vol. 6, pp. 290-291, 1959.
12. M. Juvan and B. Mohar, "Laplace eigenvalues and bandwidth-type invariants of graphs," J. Graph Theory, vol. 17, pp. 393-407, 1993.
13. F. Chung and L. Lu, "Connected components in random graphs with given expected degree sequences," Annals of Combinatorics, vol. 6, pp. 125-145, 2001.
14. M. Fiedler, "Algebraic connectivity of graphs," Czech. Math. J., vol. 23, pp. 298-305, 1973.
15. B. Bollobas, "The isoperimetric number of random regular graphs," Euro. J. Combinatorics, vol. 9, pp. 241-244, 1988.
16. B. Mohar, "Isoperimetric numbers of graphs," J. Combinatorial Theory - Series B, vol. 47, pp. 274-291, 1989.
17. C. W. Wu, "Synchronization in arrays of coupled nonlinear systems: Passivity, circle criterion, and observer design," IEEE Trans. Circuits Syst. I, vol. 48, pp. 1257-1261, 2001.