Irregular collective behavior of heterogeneous neural networks

Physical Review Letters

Volumn 105, Issue 15, 2010, Pages

  Luccioli, Stefano ^a,b   Politi, Antonio ^a  

^a ISTITUTO DEI SISTEMI COMPLESSI   (Italy)

^b INFN SEZIONE DI FIRENZE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COLLECTIVE BEHAVIOR; COUPLING STRENGTHS; INTEGRATE-AND-FIRE NEURONS; KURAMOTO MODELS; LARGE SYSTEM; MACROSCOPIC DYNAMICS; NUMERICAL SIMULATION; SINGLE-NEURON;

COMPUTER SIMULATION;

NEURAL NETWORKS;

EID: 77957791309     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.105.158104     Document Type: Article

References (23)

1. D. Golomb, D. Hansel, and G. Mato, Mechanisms of Synchrony of Neural Activity in Large Networks, in Handbook of Biological Physics, Vol. 4 (Elsevier Science, Amsterdam, 2001).
2. C. van Vreeswijk and H. Sompolinsky, Neural Comput. 10, 1321 (1998). NEUCEB 0899-7667 10.1162/089976698300017214
3. A. Destexhe, M. Rudolph, and D. Paré, Nat. Neurosci. 4, 739 (2003). NANEFN 1097-6256 10.1038/nrn1198
4. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence (Springer-Verlag, Berlin, 1984).
5. D. Hansel, G. Mato, and C. Meunier, Neural Comput. 7, 307 (1995). NEUCEB 0899-7667 10.1162/neco.1995.7.2.307
6. O.V. Popovych, Ch. Hauptmann, and P.A. Tass, Phys. Rev. Lett. 94, 164102 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.164102
7. M. Tsodyks, I. Mitkov, and H. Sompolinsky, Phys. Rev. Lett. 71, 1280 (1993). PRLTAO 0031-9007 10.1103/PhysRevLett.71.1280
8. A. Politi and A. Torcini, Stable Chaos, in Nonlinear Dynamics and Chaos (Springer-Verlag, Heidelberg, 2010).
9. R. Zillmer, R. Livi, A. Politi, and A. Torcini, Phys. Rev. E PLEEE8 1539-3755 74, 036203 (2006). 10.1103/PhysRevE.74.036203
10. S. Jahnke, R.M. Memmesheimer, and M. Timme, Phys. Rev. Lett. 100, 048102 (2008); PRLTAO 0031-9007 10.1103/PhysRevLett.100.048102
11. S. Jahnke R.M. Memmesheimer M. Timme Front. Comput. Neurosci. 3, 13 (2009).
12. R. Zillmer, N. Brunel, and D. Hansel, Phys. Rev. E PLEEE8 1539-3755 79, 031909 (2009). 10.1103/PhysRevE.79.031909
13. J. Javaloyes, M. Perrin, and A. Politi, Phys. Rev. E PLEEE8 1539-3755 78, 011108 (2008). 10.1103/PhysRevE.78.011108
14. P.C. Bressloff and S. Coombes, Phys. Rev. Lett. 81, 2168 (1998); PRLTAO 0031-9007 10.1103/PhysRevLett.81.2168
15. P.C. Bressloff S. Coombes SIAM J. Appl. Math. 60, 820 (2000). SMJMAP 0036-1399 10.1137/S0036139998339643
16. M.K. Yeung and S. Strogatz, Phys. Rev. Lett. 82, 648 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.82.648
17. L.F. Abbott and C. van Vreeswijk, Phys. Rev. E PLEEE8 1063-651X 48, 1483 (1993). 10.1103/PhysRevE.48.1483
18. O.V. Popovych, Y.L. Maistrenko, and P.A. Tass, Phys. Rev. E PLEEE8 1539-3755 71, 065201(R) (2005). 10.1103/PhysRevE.71.065201
19. C. van Vreeswijk, Phys. Rev. E PLEEE8 1063-651X 54, 5522 (1996). 10.1103/PhysRevE.54.5522
20. N. Brunel and V. Hakim, Neural Comput. 11, 1621 (1999). NEUCEB 0899-7667 10.1162/089976699300016179
21. S. Yanchuk, Phys. Rev. E PLEEE8 1539-3755 72, 036205 (2005). 10.1103/PhysRevE.72.036205
22. M. Rosenblum and A. Pikovsky, Phys. Rev. Lett. 98, 064101 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.064101
23. T. Shibata and K. Kaneko, Phys. Rev. Lett. 81, 4116 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.81.4116