Methodological notes

What are stochastic filtering and stochastic resonance?

Lomonosov Moscow State University, Department of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation

The concept of stochastic resonance (SR) was introduced in 1981 in the study of ice-age periodicity in the northern hemisphere. To describe this phenomenon, a relaxation model — an overdamped bistable oscillator — is used. SR is caused by the simultaneous action of a periodic signal and noise and appears as a nonmonotone response to noise intensity variations. Since the subject of the study is actually the filter passband width as a function of noise intensity, ’stochastic filtering’ (SF) seems to be a more appropriate term to describe the phenomenon. It is shown that when driven by a signal and noise, a low-attenuation bistable oscillator also displays ordinary SR when the signal frequency coincides with the effective noise-intensity-dependent frequency of the oscillator. Thus the possibility of the resonance being controlled by varying the noise intensity arises.

Fulltext is available at IOP
PACS: 02.50.Ey, 05.40.+j, 05.45.+b, 87.70.+c
DOI: 10.1070/PU1999v042n01ABEH000445
Citation: Klimontovich Yu L "What are stochastic filtering and stochastic resonance?" Phys. Usp. 42 37–44 (1999)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Климонтович Ю Л «Что такое стохастическая фильтрация и стохастический резонанс?» УФН 169 39–47 (1999); DOI: 10.3367/UFNr.0169.199901d.0039

References (17) Cited by (22) Similar articles (20) ↓

  1. P.S. Landa, D.I. Trubetskov, V.A. Gusev “Delusions versus reality in some physics problems: theory and experiment52 235–255 (2009)
  2. V.I. Klyatskin, K.V. Koshel’ “Simple example of the development of cluster structure of a passive tracer field in random flows43 717–723 (2000)
  3. Yu.L. Klimontovich “Relative ordering criteria in open systems39 1169–1179 (1996)
  4. A.V. Belinskii “Regular and quasiregular spectra of disordered layer structures38 653–664 (1995)
  5. E.N. Rumanov “Critical phenomena far from equilibrium56 93–102 (2013)
  6. V.I. Klyatskin “Statistical description of the diffusion of a passive tracer in a random velocity field37 501–513 (1994)
  7. T.S. Velichkina, I.A. Yakovlev “A special case of Brownian motion and Einstein’s law40 103–104 (1997)
  8. G. Oppen “Objects and environment39 617–622 (1996)
  9. A.A. Andronov, Yu.A. Ryzhov “An infinity of the classical theory of fluctuations in a nondegenerate electron gas21 873–878 (1978)
  10. V.I. Klyatskin, A.I. Saichev “Statistical and dynamic localization of plane waves in randomly layered media35 (3) 231–247 (1992)
  11. Yu.A. Kravtsov, A.I. Saichev “Effects of double passage of waves in randomly inhomogeneous media25 494–508 (1982)
  12. Yu.L. Klimontovich “Entropy and information of open systems42 375–384 (1999)
  13. O.M. Osmanov “Graphic visualisation of fractal structures38 1049–1051 (1995)
  14. A.N. Pavlov, V.S. Anishchenko “Multifractal analysis of complex signals50 819–834 (2007)
  15. Yu.L. Klimontovich “Fluctuation-dissipation relations. Role of the finiteness of the correlation time. Quantum generalization of Nyquist’s formula30 154–167 (1987)
  16. O.V. Rudenko “Nonlinear dynamics of quadratically cubic systems56 683–690 (2013)
  17. A.V. Guglielmi “Foreshocks and aftershocks of strong earthquakes in the light of catastrophe theory58 384–397 (2015)
  18. V.E. Ogluzdin “Photons traveling at the speed of light in a two-level atomic medium as a source of Cherenkov radiation cones47 829–832 (2004)
  19. B.Ya. Zel’dovich “Impedance and parametric excitation of oscillators51 465–484 (2008)
  20. A.V. Shchagin “Fresnel coefficients for parametric X-ray (Cherenkov) radiation58 819–827 (2015)

The list is formed automatically.

© 1918–2020 Uspekhi Fizicheskikh Nauk
Email: Editorial office contacts About the journal Terms and conditions