Spatial coherence resonance in neuronal media with discrete local dynamics

Chaos, Solitons and Fractals

Volumn 31, Issue 1, 2007, Pages 64-69

  Perc, Matjaž ^a  

^a UNIVERSITY OF MARIBOR   (Slovenia)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; OPTIMIZATION; RESONANCE;

DISCRETE LOCAL DYNAMICS; NEURONAL MEDIA; OPTIMAL NOISE; SPATIAL COHERENCE;

ACOUSTIC NOISE;

EID: 33745830540     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.09.021     Document Type: Article

References (42)

1. Gammaitoni L., Hänggi P., Jung P., and Marchesoni F. Stochastic resonance. Rev Modern Phys 70 (1998) 223-287
2. Lindner B., García-Ojalvo J., Neiman A., and Schimansky-Geier L. Effects of noise in excitable systems. Phys Rep 392 (2004) 321-424
3. Hu G., Ditzinger T., Ning C.Z., and Haken H. Stochastic resonance without external periodic force. Phys Rev Lett 71 (1993) 807-810
4. Rappel W.J., and Strogatz S.H. Stochastic resonance in an autonomous system with a nonuniform limit cycle. Phys Rev E 50 (1994) 3249-3250
5. Pikovsky A.S., and Kurths J. Coherence resonance in a noise-driven excitable system. Phys Rev Lett 78 (1997) 775-778
6. García-Ojalvo J., and Sancho J.M. Noise in spatially extended systems (1999), Springer, New York
7. Jung P., and Mayer-Kress G. Spatiotemporal stochastic resonance in excitable media. Phys Rev Lett 74 (1995) 2130-2133
8. Carrillo O., Santos M.A., García-Ojalvo J., and Sancho J.M. Spatial coherence resonance near pattern-forming instabilities. Europhys Lett 65 (2004) 452-458
9. Jung P., and Mayer-Kress G. Noise controlled spiral growth in excitable media. Chaos 5 (1995) 458-462
10. Jung P., Cornell-Bell A., Moss F., Kadar S., Wang J., and Showalter K. Noise sustained waves in subexcitable media: from chemical waves to brain waves. Chaos 8 (1995) 567-575
11. García-Ojalvo J., and Schimansky-Geier L. Noise-induced spiral dynamics in excitable media. Europhys Lett 47 (1999) 298-303
12. Hempel H., Schimansky-Geier L., and García-Ojalvo J. Noise-sustained pulsating patterns and global oscillations in subexcitable media. Phys Rev Lett 82 (1999) 3713-3716
13. Alonso S., Sendiña-Nadal I., Pérez-Muñuzuri V., Sancho J.M., and Sagués F. Regular wave propagation out of noise in chemical active media. Phys Rev Lett 87 (2001) 078302
14. Busch H., and Kaiser F. Influence of spatiotemporally correlated noise on structure formation in excitable media. Phys Rev E 67 (2003) 041105
15. Jung P. Thermal waves, criticality, and self-organization in excitable media. Phys Rev Lett 78 (1997) 1723-1726
16. García-Ojalvo J., Sagués F., Sancho J.M., and Schimansky-Geier L. Noise-enhanced excitability in bistable activator-inhibitor media. Phys Rev E 65 (2001) 011105
17. Ullner E., Zaikin A.A., García-Ojalvo J., and Kurths J. Noise-induced excitability in oscillatory media. Phys Rev Lett 91 (2003) 180601
18. Zaikin A.A., García-Ojalvo J., Schimansky-Geier L., and Kurths J. Noise induced propagation in monostable media. Phys Rev Lett 88 (2002) 010601
19. Zhou C.S., and Kurths J. Noise-sustained and controlled synchronization of stirred excitable media by external forcing. New J Phys 7 (2005) 18
20. Stepień L., Krawiecki A., and Kosiński R.A. Stochastic resonance in spatiotemporal on-off intermittency. Chaos, Solitons & Fractals 19 (2004) 1243-1250
21. Perc M. Noise-induced spatial periodicity in excitable chemical media. Chem Phys Lett 410 (2005) 49-53
22. Perc M. Spatial coherence resonance in excitable media. Phys Rev E 72 (2005) 016207
23. Rulkov N.F., Timofeev I., and Bazhenov M. Oscillations in large-scale cortical networks: map-based model. J Comput Neurosci 17 (2004) 203
24. Jiang Y. Multiple dynamical resonances in a discrete neuronal model. Phys Rev E 71 (2005) 057103
25. Lindner J.F., Meadows B.K., Ditto W.L., Inchiosa M.E., and Bulsara A.R. Array enhanced stochastic resonance and spatiotemporal synchronization. Phys Rev Lett 75 (1995) 3
26. Wio H.S. Stochastic resonance in a spatially extended system. Phys Rev E 54 (1995) R3075-R3078
27. Han S.K., Yim T.G., Postnov D.E., and Sosnovtseva O.V. Interacting coherence resonance oscillators. Phys Rev Lett 83 (1999) 1771-1774
28. Neiman A., Schimansky-Geier L., Cornell-Bell A., and Moss F. Noise-enhanced phase synchronization in excitable media. Phys Rev Lett 83 (1999) 4896-4899
29. Zhou C.S., Kurths J., and Hu B. Array-enhanced coherence resonance: nontrivial effects of heterogeneity and spatial independence of noise. Phys Rev Lett 87 (2001) 098101
30. Rulkov N.F. Regularization of synchronized chaotic bursts. Phys Rev Lett 86 (2001) 183-186
31. Izhikevich E.M. Neural excitability, spiking and bursting. Int J Bifurcat Chaos 10 (2000) 1171-1266
32. Barkley D. A model for fast computer simulation of waves in excitable media. Physica D 49 (1991) 61-70
33. Rulkov N.F. Modeling of spiking-bursting neural behavior using two-dimensional map. Phys Rev E 65 (2001) 041922
34. Shilnikov A.L., and Rulkov N.F. Subthreshold oscillations in a map-based neuron model. Phys Lett A 328 (2004) 177-184
35. Jung P., and Hänggi P. Amplification of small signals via stochastic resonance. Phys Rev A 44 (1991) 8032-8042
36. Pikovsky A.S. On the interaction of strange attractors. Z Phys B 55 (1984) 149-154
37. Pinsky M.A. Introduction to partial differential equations with applications (1984), McGraw-Hill, New York
38. Keener J., and Snyder J. Mathematical physiology (1998), Springer, New York
39. Simonotto E., Riani M., Seife C., Roberts M., Twitty J., and Moss F. Visual perception of stochastic resonance. Phys Rev Lett 78 (1997) 1186-1189
40. Hidaka I., Nozaki D., and Yamamoto Y. Functional stochastic resonance in the human brain: noise induced sensitization of baroreflex system. Phys Rev Lett 85 (2000) 3740-3743
41. Mori T., and Kai S. Noise-induced entrainment and stochastic resonance in human brain waves. Phys Rev Lett 88 (2002) 218101
42. Kitajo K., Nozaki D., Ward L.M., and Yamamoto Y. Behavioral stochastic resonance within the human brain. Phys Rev Lett 90 (2003) 218103