On Diffusion Approximation for the Van der Poll Oscillator Subject to Random Impulse Perturbation

16th Conference on Applied Mathematics (APLIMAT 2017): Proceedings 2017
Andrejs Matvejevs, Jevgeņijs Carkovs, Oksana Pavļenko

The paper deals with mathematical model of the Van der Poll oscillator given by second order of differential equation dependent on an impulse type compound Poisson process of large intensity. Applying the stochastic asymptotic approximation procedure, we deduce the approximative the stochastic differential equation for the phase and amplitude of vibrations. These equations permit us to analyse an existing capability and to describe the probabilistic capabilities of a stationary amplitude and to discuss the behaviour of a vibration phase.

Keywords
The Van der Poll oscillator, diffusion approximation, random oscillations

Matvejevs, A., Carkovs, J., Pavļenko, O. On Diffusion Approximation for the Van der Poll Oscillator Subject to Random Impulse Perturbation. In: 16th Conference on Applied Mathematics (APLIMAT 2017): Proceedings, Slovakia, Bratislava, 31 Jan-2 Feb., 2017. Bratislava: Spektrum STU, 2017, pp.285-294. ISBN 978-80-227-4650-2.

Publication language
English (en)