Desynchronization in diluted neural networks

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 74, Issue 3, 2006, Pages

  Zillmer, Rüdiger ^a   Livi, Roberto ^a,b   Politi, Antonio ^c,d   Torcini, Alessandro ^c,d  

^a INFN SEZIONE DI FIRENZE   (Italy)

^b UNIVERSITY OF FLORENCE   (Italy)

^c ISTITUTO DEI SISTEMI COMPLESSI   (Italy)

^d Centro Interdipartimentale per Lo Studio Delle Dinamiche Complesse   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; LYAPUNOV METHODS; RANDOM PROCESSES;

DESYNCHRONIZATION; NEURONS; STOCHASTIC-LIKE BEHAVIOR; TRANSIENT DYNAMICS;

NEURAL NETWORKS;

EID: 33748426952     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.74.036203     Document Type: Article

References (24)

1. S. H. Strogatz, Nature (London) NATUAS 0028-0836 10.1038/35065725 410, 268 (2001).
2. A. Destexhe, M. Rudolph, J.-M. Fellous, and T. J. Sejnowski, Neuroscience NRSCDN 0306-4522 10.1016/S0306-4522(01)00344-X 107, 13 (2001).
3. N. Brunel and X.-J. Wang, J. Comput. Neurosci. JCNEFR 0923-5313 10.1023/A:1011204814320 11, 63 (2001).
4. D. Z. Jin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89. 208102 89, 208102 (2002).
5. A. Zumdieck, M. Timme, T. Geisel, and F. Wolf, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.244103 93, 244103 (2004).
6. S. H. Strogatz and R. E. Mirollo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.47.220 47, 220 (1993).
7. J. P. Crutchfield and K. Kaneko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.60.2715 60, 2715 (1988);
8. A. Politi, R. Livi, G.-L. Oppo, and R. Kapral, Europhys. Lett. EULEEJ 0295-5075 22, 571 (1993).
9. F. Ginelli, R. Livi, A. Politi, and A. Torcini, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.046217 67, 046217 (2003).
10. W. Gerstner and W. M. Kistler, Spiking Neuron Models (Cambridge University Press, Cambridge, 2002).
11. N. Brunel and V. Hakim, Neural Comput. NEUCEB 0899-7667 10.1162/089976699300016179 11, 1621 (1999).
12. C. van Vreeswijk, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.5522 54, 5522 (1996).
13. P. K. Mohanty and A. Politi, J. Phys. A JPHAC5 0305-4470 39, L415 (2006).
14. C. Rieke, K. Sternickel, R. G. Andrzejak, C. E. Elger, P. David, and K. Lehnertz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.244102 88, 244102 (2002).
15. R. S. Chikara and J. L. Folks, The Inverse Gaussian Distribution (Marcel Dekker, New York, 1988).
16. R. Livi, G. Martinez-Mekler, and S. Ruffo, Physica D PDNPDT 0167-2789 10.1016/0167-2789(90)90202-Z 45, 452 (1990).
17. R. Bonaccini and A. Politi, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(96)00269-2 103, 362 (1997).
18. P. Cipriani, S. Denisov, and A. Politi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.244301 94, 244301 (2005);
19. P. Cipriani and A. Politi, (unpublished).
20. H. C. Tuckwell, Introduction to Theoretical Neurobiology (Cambridge University Press, New York, 1988).
21. F. Cecconi, R. Livi, and A. Politi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.2703 57, 3, 2703 (1998).
22. N. Masuda and K. Aihara, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.248101 88, 248101 (2002).
23. C. van Vreeswijk and H. Sompolinsky, Science SCIEAS 0036-8075 10.1126/science.274.5293.1724 274, 5293, 1724 (1996).
24. V. P. Zhigulin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92. 238701 92, 238701 (2004).