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arXiv · 1802.06717

Emission of autoresonant trajectories and thresholds of resonant pumping

O. M. Kiselev
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Abstract

We study an autoresonant asymptotic behaviour for nonlinear oscillators under slowly changing frequency and amplitude of external driver. As a result we obtain formulas for threshold values of amplitude and frequency of the driver when autoresonant behaviour for the nonlinear oscillator is observed. Also we study a capture into resonance and emission out of the resonance for trajectories of the oscillator. A measure of autoresonant asymptotic behaviours for nonlinear oscillator is obtained.

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O. M. Kiselev. 2018-02-19. Emission of autoresonant trajectories and thresholds of resonant pumping. https://arxiv.org/abs/1802.06717

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