Tuning in to Noise

MAR 01, 1996

Since its introduction more than ten years ago, stochastic resonance has become widely recognized as a paradigm for noise‐induced effects in driven nonlinear dynamic systems.

DOI: 10.1063/1.881491

Adi R. Bulsara

Luca Gammaitoni

Two sweeping generalizations can be made about most natural systems: They are intrinsically nonlinear and they operate in noisy environments. Examples abound, ranging from weather systems to oscillating chemical reactions to the movements of an eel. The most complex example is arguably the human central nervous system, flooded as it is with the “noise” of modern life.

This article is only available in PDF format

References

1. R. Benzi, A. Sutera, A. Vulpiani, J. Phys. A 14, L453 (1981).
2. L. Gammaitoni et al., Phys. Rev. Lett. 62, 349 (1989). https://doi.org/PRLTAO
B. McNamara, K. Wiesenfeld, Phys. Rev. A 39, 4854 (1989).https://doi.org/PLRAAN
3. K. Wiesenfeld, F. Moss, Nature 373, 33 (1995).https://doi.org/NATUAS
4. F. Moss, A. Bulsara, M. Shlesinger, eds., Proc. NATO Adv. Research Wksp. on Stochastic Resonance in Phys. and Biology, J. Stat. Phys. 70, (1993).
5. Nuovo Cimento D 17, (1995).
(Papers from the Int. Wksp. On Fluctuations in Phys. and Biology: Stochastic Resonance, Signal Processing, and Related Phenomena).
6. P. Jung, P. Hanggi, Phys. Rev. A 44, 8032 (1991). https://doi.org/PLRAAN
H. Gang, G. Nicolis, C. Nicolis, Phys. Rev. A 42, 2030 (1990).
M. Dykman et al., Phys. Lett. A 180, 332 (1993). https://doi.org/PYLAAG
P. Jung, Phys. Rep. 234, 175 (1993).https://doi.org/PRPLCM
7. L. Gammaitoni, F. Marchesoni, S. Santucci, Phys. Rev. Lett. 74, 1052 (1995).https://doi.org/PRLTAO
8. J. Douglass et al., Nature 365, 337 (1993). https://doi.org/NATUAS
S. Bezrukov, I. Vodyanoy, Nature 378, 362 (1995).https://doi.org/NATUAS
9. M. deWeese, W. Bialek, in ref. 5.J. Collins, C. Chow, T. Imhoff, Phys. Rev. E 52, 315 (1995). https://doi.org/PLEEE8
L. Kiss, in Proc. 2nd Int. Mtg. On Nonlinear Dynamics and Full Spectrum Processing, AIP Press, to appear. J. Levin, J. Miller, Nature (1996), in press. A. Zador, A. Bulsara, Phys. Rev. E, submitted.
10. A. Longtin, A. Bulsara, F. Moss, Phys. Rev. Lett. 67, 656 (1991). https://doi.org/PRLTAO
A. Longtin et al., Biol. Cybern. 70, 569 (1994).https://doi.org/BICYAF
11. See for example J. Rose et al., J. Neurophys. 30, 769 (1967).
H. Braun et al., Nature 367, 270 (1994).https://doi.org/NATUAS
12. J. Lindner et al., Phys. Rev. Lett. 75, 3 (1995). https://doi.org/PRLTAO
M. Inchiosa, A. Bulsara, Phys. Rev. E 52, 327 (1995). https://doi.org/PLEEE8
We also invite readers to visit http://hpcweb.nosc.mil/hpc/sr/sr.html on the World Wide Web.
13. L. Gammaitoni, Phys. Rev. E 52, 4691 (1995).https://doi.org/PLEEE8
14. B. McNamara, K. Wiesenfeld, R. Roy, Phys. Rev. Lett. 60, 2626 (1988). https://doi.org/PRLTAO
L. Gammaitoni et al., Phys. Rev. Lett. 67, 1799 (1991). https://doi.org/PRLTAO
J. Iannelli et al., Appl. Phys. Lett. 65, 1983 (1994). https://doi.org/APPLAB
B. Jost, B. Saleh, Opt. Lett. 21, 287 (1996). https://doi.org/OPLEDP
A. Hibbs et al., J. Appl. Phys. 77, 2582 (1995). https://doi.org/JAPIAU
R. Rouse, S. Han, J. Lukens, Appl. Phys. Lett. 66, 108 (1995). https://doi.org/APPLAB
M. Dykman et al., Appl. Phys. Lett. 67, 308 (1995).https://doi.org/APPLAB

More about the authors

Adi R. Bulsara, Naval Command, Control and Ocean Surveillance Center, RDT&E Division, San Diego, California.

Luca Gammaitoni, University of Perugia.