Stochastic oscillator: Brownian motion with adhesion

M. Gitterman

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


We consider an oscillator with a random mass for which the particles of the surrounding medium adhere to the oscillator for some random time after the collision (Brownian motion with adhesion). This is another form of a stochastic oscillator, different from oscillator usually studied that is subject to a random force or having random frequency or random damping. A comparison is performed for the first two moments, stability analysis and different resonance phenomena (stochastic resonance, vibration resonance) for stochastic oscillators subject to external periodic force as well as to linear and quadratic, white, dichotomous, and trichotomous noises.

Original languageEnglish
Title of host publicationModeling and Simulation in Science, Engineering and Technology
PublisherSpringer Basel
Number of pages20
StatePublished - 2013

Publication series

NameModeling and Simulation in Science, Engineering and Technology
ISSN (Print)2164-3679
ISSN (Electronic)2164-3725

Bibliographical note

Publisher Copyright:
© 2013, Springer Science+Business Media New York.


  • Bounded noises
  • Brownian motion with adhesion
  • Dichotomous and trichotomous noises
  • Resonance
  • Stochastic oscillators


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