Detecting and quantifying temporal correlations in stochastic resonance via information theory measures

European Physical Journal B

Volumn 69, Issue 1, 2009, Pages 37-43

  Rosso, O A ^a,b   Masoller, C ^c  

^a UNIVERSITY OF NEWCASTLE   (Australia)

^b INSTITUTO DE CÁLCULO   (Argentina)

^c UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BISTABLE POTENTIAL; BROWNIAN PARTICLES; COMPLEX SIGNAL; NOISE INTENSITIES; OPTIMAL LEVEL; QUANTIFYING NOISE; REAL-WORLD; RESONANT BEHAVIOR; SHANNON ENTROPY; STATISTICAL COMPLEXITY; STOCHASTIC RESONANCES; TEMPORAL CORRELATIONS; TEMPORAL SEQUENCES; TIME INTERVAL;

CIRCUIT RESONANCE; INFORMATION THEORY; MAGNETIC RESONANCE; PROBABILITY DENSITY FUNCTION; RANDOM PROCESSES;

PROBABILITY DISTRIBUTIONS;

EID: 67649479396     PISSN: 14346028     EISSN: 14346036     Source Type: Journal    
DOI: 10.1140/epjb/e2009-00146-y     Document Type: Article

References (49)

1. L. Gammaitoni, F. Marchesoni, E. Menichella-Saetta, S. Santucci, Phys. Rev. Lett. 62, 349 (1989)
2. L. Gammaitoni, P. Hänggi, P. Jung, F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998)
3. R. Benzi, G. Parisi, A. Sutera, A. Vulpiani, Tellus 34, 10 (1982)
4. R. Benzi, A. Sutera, A. Vulpiani, J. Phys. A 14, L453 (1981)
5. K. Wiesenfeld, F. Moss, Nature 373, 6509 (1995)
6. B. Lindner, J. Garcia-Ojalvo, A. Neiman, L. Schimansky-Geier, Phys. Rep. 392, 321 (2004)
7. B. McNamara, K. Wiesenfeld, R. Roy, Phys. Rev. Lett. 60, 2626 (1988)
8. G. Giacomelli, F. Marin, I. Rabbiosi, Phys. Rev. Lett. 82, 675 (1999)
9. R.L. Badzey, P. Mohanty, Nature 437, 995 (2005)
10. P. Jung, P. Hanggi, Phys. Rev. A 44, 8032 (1991)
11. J.K. Douglass, L. Wilkens, E. Pantazelou, F. Moss, Nature 365, 6444 (1993)
12. J.E. Levin, J.P. Miller, Nature 380, 6570 (1996)
13. J.J. Collins, T.T. Imhoff, P. Grigg, Nature 383, 770 (1996)
14. D. Russell, L. Wilkens, F. Moss, Nature 402, 291 (1999)
15. M.H. Choi, R.F. Fox, P. Jung, Phys. Rev. E 57, 6335 (1998)
16. L. Gammaitoni, F. Marchesoni, S. Santucci, Phys. Rev. Lett. 74, (1995) 1052 (1995)
17. C. Heneghan, C.C. Chow, J.J. Collins, T.T. Imhoff, S.B. Lowen, M.C. Teich, Phys. Rev. E 54, R2228 (1996)
18. A.R. Bulsara, A. Zador, Phys. Rev. E 54, R2185 (1996)
19. A. Neiman, B. Shulgin, V. Anishchenko, E. Ebeling, L. Schimansky-Geier, J. Freund, Phys. Rev. Lett. 76, 4299 (1996)
20. M.E. Inchiosa, J.W.C. Robinson, A.R. Bulsara, Phys. Rev. Lett. 85, 3369 (2000)
21. I. Goychuk, P. Hänggi, Phys. Rev. E 61, 4272 (2000)
22. I. Goychuk, Phys. Rev. E 64, 021909 (2001)
23. I. Goychuk, P. Hänggi, Eur. Phys. J. B (2009), DOI: 10.1140/epjb/e2009-00049-y
24. R. López-Ruiz, H.L. Mancini, X. Calbet, Phys. Lett. A 209, 321 (1995)
25. M.T. Martín, A. Plastino, O.A. Rosso, Phys. Lett. A 311, 126 (2003)
26. P.W. Lamberti, M.T. Martín, A. Plastino, O.A. Rosso, Physica A 334, 119 (2004)
27. For discussion of other simple alternatives of the disequilibrium Q and the corresponding advantages and disadvantages of each ones see [26]
28. A. Witt, A. Neiman, J. Kurths, Phys. Rev. E 55, 5050 (1997)
29. O.A. Rosso, C. Masoller, Phys. Rev. E (2009), in press
30. O.A. Rosso, H. Larrondo, M.T. Martin, A. Plastino, M.A. Fuentes, Phys. Rev. Lett. 99, 154102 (2007)
31. C.E. Shannon, Bell System Technical Journal 27, 379 (1948)
32. P. Grassberger, Int. J. Theo. Phys. 25, 907 (1986)
33. P. Grassberger, Physica A 140, 319 (1986)
34. J.P. Crutchfield, K. Young, Phys. Rev. Lett. 63, 105 (1989)
35. R. Wackerbauer, A. Witt, H. Altmanspacher, J. Kurths, H. Scheingraber, Chaos Solitons & Fractals 4, 133 (1994)
36. D.P. Feldman, J.P. Crutchfield, Phys. Lett. A 238, 244 (1998)
37. J.S. Shiner, M. Davison, P.T. Landsberg, Phys. Rev. E 59, 1459 (1999)
38. H. Kantz, J. Kurths, G. Meyer-Kress, Nonlinear Analysis of Physiological Data (Springer, Berlin, 1998)
39. T.M. Cover, J.A. Thomas, Elements of Information Theory (Wiley, New York, 1991)
40. W.K. Wootters, Phys. Rev. D 23, 357 (1981)
41. M.T. Martín, A. Plastino, O.A. Rosso, Physica A 369, 439 (2006)
42. A.R. Plastino, A. Plastino, Phys. Rev. E 54, 4423 (1996)
43. X. Calbet, R. López-Ruiz, Phys. Rev. E 63, 066116 (2001)
44. O.A. Rosso, M.T. Martín, A. Figliola, K. Keller, A. Plastino, Journal on Neuroscience Methods 153, 163 (2006)
45. A. M. Kowalski, M.T. Martín, A. Plastino, O.A. Rosso, Physica D 233, 21 (2007)
46. L. Zunino, D.G. Pérez, M.T. Martín, A. Plastino, M. Garavaglia, O.A. Rosso, Phys. Rev. E 75, 031115 (2007)
47. C. Bandt, B. Pompe, Phys. Rev. Lett. 88, 174102 (2002)
48. K. Keller, M. Sinn, Physica A 356, 114 (2005)
49. H.A. Larrondo, M.T. Martín, C.M. González, A. Plastino, O.A. Rosso, Phys. Lett. A 352, 421 (2006)