Synchronizability of stochastic network ensembles in a model of interacting dynamical units

Physica A: Statistical Mechanics and its Applications

Volumn 386, Issue 1, 2007, Pages 503-512

  Albeverio, Sergio ^a,b,c,d,e   Cebulla, Christof ^a  

^a UNIVERSITY OF BONN   (Germany)

^b SFB 611 Bonn ^*  (Germany)

^c IZKS   (Germany)

^d UNIVERSITY OF LUGANO   (Switzerland)

^e CERFIM   (Switzerland)

Author keywords

Neural networks; Scale free networks; Synchronization

Indexed keywords

COMPUTER SIMULATION; NETWORK ARCHITECTURE; NEURAL NETWORKS; PARAMETER ESTIMATION; STOCHASTIC MODELS; SYNCHRONIZATION;

NETWORK TOPOLOGIES; SCALE FREE NETWORKS; STOCHASTIC NETWORK;

LARGE SCALE SYSTEMS;

EID: 35148862178     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2007.07.036     Document Type: Article

References (19)

1. Watts D.J., and Strogatz S.H. Collective dynamics of small-world networks. Nature 393 (1998) 440
2. Belykh I., and Hasler M. Synchronization and graph topology. Int. J. Bifurc. Chaos 15 11 (2005) 3423-3433
3. Zhou C., Motter A.E., and Kurths J. Universality in the synchronization of weighted random networks. Phys. Rev. Lett. 96 (2006) 034101
4. Barahoma M., and Pecora L.M. Synchronization in small-world systems. Phys. Rev. Lett. 89 5 (2002) 054101
5. Lago-Fernandez L.F., Corbacho F.J., and Huerta R. Connection topology dependence of synchronization of neural assemblies on class 1 and 2 excitability. Neural Networks 14 (2001) 687-696
6. Atay F.M., and Biyikoglu T. Graph operations and synchronization of complex networks. Phys. Rev. E 72 (2005) 016217
7. Atay F.M., Biyikoglu T., and Jost J. Synchronization of networks with prescribed degree distribution. IEEE Trans. Circuits Syst. I 53 1 (2006) 92-98
8. Pikowsky A., Rosenblum M., and Kurths J. Synchronization. A Universal Concept in Nonlinear Sciences (2001), Cambridge University Press, Cambridge
9. Gade P.M., and Hu C.-K. Synchronous chaos in coupled map lattices with small-world interactions. Phys. Rev. E 62 5 (2000) 6409-6413
10. Guardiola X., Diaz-Guilera A., Llas M., and Pérez C.J. Synchronization, diversity, and topology of networks of integrate and fire oscillators. Phys. Rev. E 62 4 (2000) 5565-5570
11. Grinstein G., and Linsker F. Synchronous neural activity in scale-free network models versus random network models. Proc. Natl. Am. Sci. 102 28 (2005) 9948-9953
12. Nishikawa T., Motter A.E., Lai Y.-C., and Hoppensteadt F.C. Heterogeneity in oscillator networks: are smaller worlds easier to synchronize?. Phys. Rev. Lett. 91 1 (2003) 014101
13. Blanchard Ph., and Fortunato S. Importance of extremists for the structure of social networks. Phys. Rev. E 71 (2005) 056114
14. Golomb D., and Hansel D. The number of synaptic inputs and the synchrony of large, sparse neuronal networks. Neural Comput. 12 (2000) 1095-1139
15. Kandell E.R., Schwartz J.H., and Jessel T.M. Principles of Neural Science (2000), McGraw-Hill, New York
16. Cebulla C. Asymptotic behaviour and synchronizability characteristics of a class of recurrent neural networks. Neural Comput. 19 9 (2007) 2492-2514
17. Newman M.E.J., Strogatz S.H., and Watts D.J. Random graphs with arbitrary degree distribution and their applications. Phys. Rev. E 64 2 (2001) 026118
18. Barabasi A.-L., and Albert R. Emergence of scaling in random networks. Science 286 (1999) 509-512
19. Dorogovtsev S.N., and Mendes J.F.F. Evolution of Networks (2003), Oxford University Press, Oxford, UK