Synchronization in generalized Erdös-Rényi networks of nonlinear oscillators

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

Volumn 2005, Issue , 2005, Pages 4628-4633

  Preciado, Victor M ^a   Verghese, George C ^a  

^a USA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; GRAPH THEORY; LAPLACE TRANSFORMS; NONLINEAR CONTROL SYSTEMS; RANDOM PROCESSES; SYNCHRONIZATION; TELECOMMUNICATION NETWORKS;

DEGREE DISTRIBUTION; LAPLACIAN EIGENVALUE DISTRIBUTION; NONLINEAR OSCILLATORS; RANDOM GRAPHS;

OSCILLATORS (ELECTRONIC);

EID: 33847223791     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1582892     Document Type: Conference Paper

References (17)

1. A. L. Barabási and R. Albert, "Emergence of scaling in random networks," Science, vol. 285, pp. 509512, 1999.
2. F. Chung, and L. Lu, "Connected components in random graphs with given expected degree sequences," Annals of Combinatorics, vol. 6, pp. 125-145, 2002.
3. P. Erdös and A. Rényi, "On Random Graphs," France: Publicationes Mathematicae, vol. 6, pp. 290-297, 1959.
4. I. J. Farkas, I. Derenyi, A. L. Barabasi, and T. Vicsek, "Spectra of real world graphs: beyond the semicircle law," Phys. Rev. E., vol. 64, p. 026 704, 2001.
5. V. Gazi, and K. M. Passino, "Stability analysis of swarms," IEEE Trans. Autom. Control, vol. 48, no. 4, pp. 692-697, Apr. 2003.
6. I. S. Gradshteyn, and I. M. Ryzhik, Table of integrals, series, and products, Academic Press, 6th Edition, 2000.
7. J. F. Heagy, L. M. Pecora, and T. L. Carroll, "Short wavelength bifurcations and size instabilities in coupled oscillator systems," Phys. Rev. Lett., vol. 74, no. 21, p. 4185, 1995.
8. A. Jadbabaie, J. Lin, and A. S. Morse, "Coordination of groups of mobile autonomous agents using nearest neighbor rules," IEEE Trans. Autom. Control, vol. 48, no. 6, pp. 988-1001, Jun. 2003.
9. M. L. Mehta, Random Matrices, Academic Press, 3rd Edition, 2004.
10. L. Moreau, "Stability of multiagent systems with time-dependent communication links," IEEE Trans. Autom. Control, vol. 50, no. 2, Feb. 2005.
11. R. Olfati-Saber, "Consensus problems in networks of agents with switching topology and time-delays," IEEE Trans. Autom. Control, vol. 49, no. 9, pp. 1520-1533, Sep. 2004.
12. A. Papoulis, and S. U. Pillai, Probability, Random Variables and Stochastic Processes, McGraw-Hill, 4th Edition, 2002.
13. L. M. Pecora and T. L. Carroll, "Master stability functions for synchronized coupled systems," Phys. Rev. Lett., vol. 80, no. 10, p. 2109, 1998.
14. S. H. Strogatz, "Exploring complex networks," Nature, vol. 410, pp. 268-276, 2001.
15. X. F. Wang and G. Chen, "Synchronization in scale-free dynamical networks: Robustness and fragility," IEEE Trans. Circuits Syst. I, vol. 49, pp. 5462, Jan. 2002.
16. D. J. Watts, and S. Strogatz, " Collective dynamics of Small World networks," Nature, vol 393, pp. 440-42, 1998.
17. C. W. Wu, Synchronization in Coupled Chaotic Circuits and Systems. Singapore: World Scientific, 2002.