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Numerical Study of Energetic Stability for Harmonic Oscillator with Fluctuating Damping Parameter

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Abstract

A harmonic oscillator with fluctuating damping parameter is considered. The fluctuation is modelled by three type of zero mean random processes with the same correlation function: Ornstein–Uhlenbeck process, telegraphic process and sine-Wiener process. Efficient numerical procedures are introduced for obtaining energetic stability diagrams for such cases of random parameter.

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Authors and Affiliations

  1. Institute of Mathematics, Jan Kochanowski University, Swietokrzyska 15, 25-406, Kielce, Poland

    Roman V. Bobryk

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  1. Roman V. Bobryk
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Correspondence to Roman V. Bobryk .

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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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Bobryk, R.V. (2013). Numerical Study of Energetic Stability for Harmonic Oscillator with Fluctuating Damping Parameter. 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_6

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