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    Oleg Kiselev

    ul. Chernyshevskogo 112, Ufa, 450008 Russia
    Institute of Mathematics with Computing Centre


    Kiselev O. M.
    We study the asymptotic behavior of nonlinear oscillators under an external driver with slowly changing frequency and amplitude. As a result, we obtain formulas for properties of the amplitude and frequency of the driver when the autoresonant behavior of the nonlinear oscillator is observed. Also, we find the measure of autoresonant asymptotic behaviors for such a driven nonlinear oscillator.
    Keywords: nonlinear oscillator, autoresonance, perturbations
    Citation: Kiselev O. M.,  Conditions for Phase Locking and Dephasing of Autoresonant Pumping, Rus. J. Nonlin. Dyn., 2019, Vol. 15, no. 3, pp.  381-394
    Kiselev O. M.
    Stable Feedback Control of a Fast Wheeled Robot
    2018, Vol. 14, no. 3, pp.  409-417
    We obtain criteria for the stability of fast straight-line motion of a wheeled robot using proportional or proportional derivative feedback control. The motion of fast robots with discrete feedback control is defined by the discrete dynamical system. The stability criteria are obtained for the discrete system for proportional and proportional-derivative feedback control.
    Keywords: feedback control, stability, robotics
    Citation: Kiselev O. M.,  Stable Feedback Control of a Fast Wheeled Robot, Rus. J. Nonlin. Dyn., 2018, Vol. 14, no. 3, pp.  409-417

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