Synchronization in systems coupled via complex networks

Proceedings - IEEE International Symposium on Circuits and Systems

Volumn 4, Issue , 2004, Pages

  Wu, Chai Wah ^a  

^a IBM T J WATSON RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADDITIVES; ARRAYS; ASYMPTOTIC STABILITY; CHAOS THEORY; COMPUTER SIMULATION; COUPLINGS; DISCRETE TIME CONTROL SYSTEMS; MATHEMATICAL MODELS; RANDOM PROCESSES; SYNCHRONIZATION; WAVELET TRANSFORMS; WORLD WIDE WEB;

CHAOTIC SYSTEMS; PERTURBATIONS; TIME VARYING COUPLINGS; ZERO ELEMENTS;

SYSTEMS ANALYSIS;

EID: 4344622716     PISSN: 02714310     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (16)

1. D. J. Watts and S. H. Strogatz, "Collective dynamics of 'small-world' networks," Nature, vol. 393, pp. 440-442, 1998.
2. A.-L. Barabási, R. Albert, and H. Jeong, "Scale-free characteristics of random networks: the topology of the world wide web," Physica A, vol. 281, pp. 69-77, 2000.
3. X. F. Wang and G. Chen, "Synchronization in small-world dynamical networks," Int. J. of Bif. and Chaos, vol. 12, no. 1, pp. 187-192, 2002.
4. X. F. Wang and G. Chen, "Synchronization in scale-free dynamical networks: Robustness and fragility," IEEE Trans. on Circ. and Syst.-I, vol. 49, no. 1, pp. 54-62, 2002.
5. C. W. Wu and L. O. Chua, "Synchronization in an array of linearly coupled dynamical systems," IEEE Trans. on Circ. and Syst.-I, vol. 42, no. 8, pp. 430-447, 1995.
6. L. M. Pecora and T. L. Carroll, "Master stability functions for synchronized coupled systems," Phys. Rev. Lett., vol. 80, no. 10, pp. 2109-2112, 1998.
7. C. W. Wu, Synchronization in coupled chaotic circuits and systems. World Scientific, 2002.
8. G. W. Wei, M. Zhan, and C.-H. Lai, "Tailoring wavelets for chaos control," Phys. Rev. Lett., vol. 89, no. 28, p. 284103, 2002.
9. C. W. Wu, "Perturbation of coupling matrices and its effect on the synchronizability in arrays of coupled chaotic circuits," Physics Letters A, vol. 319, pp. 495-503, 2003.
10. M. Fiedler, "Algebraic connectivity of graphs," Czechoslovak Mathematical Journal, vol. 23, no. 98, pp. 298-305, 1973.
11. C. W. Wu, "Synchronization in arrays of coupled nonlinear systems: Passivity, circle criterion and observer design," IEEE Trans. on Circ. and Syst.-I, vol. 48, no. 10, pp. 1257-1261, 2001.
12. M. E. J. Newman and D. J. Watts, "Scaling and percolation in the small-world network model," Physical Review E, vol. 60, no. 6, pp. 7332-7342, 1999.
13. F. Juhász, "The asymptotic behaviour of Fiedler's algebraic connectivity for random graphs," Discrete Mathematics, vol. 96, pp. 59-63, 1991.
14. C. W. Wu, "Global synchronization in coupled map lattices," in Proceedings of the 1998 IEEE Int. Symp. Circ. Syst., vol. 3, pp. III-302-305, 1998.
15. M. Barahona and L. M. Pecora, "Synchronization in small-world systems," Phys. Rev. Lett., vol. 89, no. 5, pp. 054101, 2002.
16. C. W. Wu, "Synchronization in arrays of coupled systems with delay and time-varying coupling," IBM Research Report RC23006, 2003, submitted for publication.