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Bounded Noises in Physics, Biology, and Engineering pp 79–98Cite as

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Stochastic Oscillator: Brownian Motion with Adhesion

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Abstract

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.

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Authors and Affiliations

  1. Department of Physics, Bar Ilan University, Ramat Gan, 52900, Israel

    M. Gitterman

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  1. M. Gitterman
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Correspondence to M. Gitterman .

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Editors and Affiliations

  1. Department of Experimental Oncology, European Institute of Oncology, Milan, Italy

    Alberto d'Onofrio

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Gitterman, M. (2013). Stochastic Oscillator: Brownian Motion with Adhesion. In: d'Onofrio, A. (eds) Bounded Noises in Physics, Biology, and Engineering. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4614-7385-5_5

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