Autoresonance in a dissipative system

作者:Glebov Sergei*; Kiselev Oleg; Tarkhanov Nikolai
来源:Journal of Physics A-Mathematical and Theoretical, 2010, 43(21): 215203.
DOI:10.1088/1751-8113/43/21/215203

摘要

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.

  • 出版日期2010-5-28