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Methodological notes


What are stochastic filtering and stochastic resonance?


Lomonosov Moscow State University, Faculty 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.

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Fulltext is also available at DOI: 10.1070/PU1999v042n01ABEH000445
PACS: 02.50.Ey, 05.40.+j, 05.45.+b, 87.70.+c
DOI: 10.1070/PU1999v042n01ABEH000445
URL: https://ufn.ru/en/articles/1999/1/d/
000078623600002
Citation: Klimontovich Yu L "What are stochastic filtering and stochastic resonance?" Phys. Usp. 42 37–44 (1999)
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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 (31) Similar articles (20)

  1. Benzi R, Sutera A, Vulpiani A J. Phys. A 14 L453 (1981)
  2. Nicolis C Sol. Phys. 74 473 (1981)
  3. Benzi R et al. Tellus 34 10 (1982)
  4. Fox R F Phys. Rev. A 39 4148 (1989)
  5. Dykman M I et al. J. Stat. Phys. 70 479 (1993)
  6. Moss F Stochastic Resonance: From The Ice Ages To The Monkey’s Ear. (Contemporary Problems In Statistical Physics, Ed. G Weiss) (Phyladelfia: SIAM, 1994) p. 205
  7. Moss F, Pierson D, O’Gorman D Intern. J. Bifurc. Chaos 6 1383 (1994)
  8. Gammaltoni L et al. Rev. Mod. Phys. 70 223 (1998)
  9. Anishchenko V S, Neiman A B, Moss F, Shimanskii-Gaier L Usp. Fiz. Nauk 169 7 (1999)
  10. Rytov S M Vvedenie v Statisticheskuyu Radiofiziku. T. 1. Sluchainye Protsessy (M.: Nauka, 1966)
  11. Stratonovich R L Izbrannye Voprosy Teorii Flyuktuatsii v Radiotekhnike (M.: Sov. radio, 1961)
  12. Klimontovich Yu L Usp. Fiz. Nauk 164 811 (1994)
  13. Klimontovich Yu L Statisticheskaya Teoriya Otkrytykh Sistem (M.: Yanus, 1995); Klimontovich Yu L Statistical Theory Of Open Systems (Dordrecht: Kluwer Acad. Publ., 1995)
  14. Klimontovich Yu L Statisticheskaya Fizika (M.: Nauka, 1982)
  15. Hanggi P, Talkner P, Borkovec M Rev. Mod. Phys. 62 251 (1990)
  16. Kramers H A Physica 7 284 (1940)
  17. Pontryagin L, Andronov A, Vitt A Zh. Eksp. Teor. Fiz. 3 165 (1933)

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