The autoresonance threshold into a system of weakly coupled oscillators

Details The autoresonance threshold into a system of weakly coupled oscillators The autoresonance threshold into a system of weakly coupled oscillators

2007-07-16

arxiv.org/abs/0707.2311v1

Physics

Mathematical Physics

LaTeX, 15 pages, 6 figures

Scientific paper

We investigate a system of two weakly coupled oscillators. It is shown that
an external periodic perturbation can lead to the capture into resonance.
Asymptotic description and numerical simulations are presented. We have
obtained the explicit formula for the threshold value for the amplitude of the
perturbation that leads to the autoresonance.

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