Stochastic Resonance

  • Yurii Bolotin
  • Anatoli Tur
  • Vladimir Yanovsky
Chapter
First Online:
Part of the Understanding Complex Systems book series (UCS)

Abstract

There are well-known and strictly regulated algorithms for the solution of linear problems. The physical meaning of the solution for any linear problem is clear on an intuitive level. The particularity of the linear system does not play an essential role. However, if we want to deal with real situations, we must take into account two new elements—non-linearity and noise. Non-linearity leads to incredible complications in solving technique. The combination of non-linearity with noise complicates the situation even more. In attempts to predict the behavior of such systems, the most refined intuition fails. The stochastic resonance effect represents an example of the paradoxical behavior of non-linear systems under influence of noise. The term “stochastic resonance” unites a group of phenomena for which the growth of disorder (noise amplitude) upon input into a non-linear system leads under certain conditions to an increase of order on the output. Quantitatively, the effect manifests in the fact that such integral system characteristics as gain constant, noise-to-signal ratio have a clearly marked maximum at some optimal noise level. At the same time, the system entropy reaches a minimum, giving evidence of noise-induced order growth.

Keywords

Noise Intensity Stochastic Resonance Brownian Particle Periodic Perturbation Bistable System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer International Publishing Switzerland 2017

Authors and Affiliations

  • Yurii Bolotin
    • 1
  • Anatoli Tur
    • 2
  • Vladimir Yanovsky
    • 3
  1. 1.A.I. Akhiezer Institute for Theoretical PhysicsKharkovUkraine
  2. 2.Institut de Recherche en Astrophysique et PlanetologieCNRS Université Paul-SabatierToulouseFrance
  3. 3.National Academy of Sciences of UkraineInstitute for Single CrystalsKharkovUkraine

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