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arXiv 2009-12-01 DOI 10.1088/1751-8113/43/21/215203 0 views

Autoresonance in a Dissipative System

Glebov, Sergei · Kiselev, Oleg · Tarkhanov, Nikolai

Original · EN

We study the autoresonant solution of Duffing's equation in the presence of dissipation. This solution is proved to be an attracting set. We evaluate the maximal amplitude of the autoresonant solution and the time of transition from autoresonant growth of the amplitude to the mode of fast oscillations. Analytical results are illustrated by numerical simulations.

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