On the Third Superharmonic Resonance in the Duffing Oscillator

  title={On the Third Superharmonic Resonance in the Duffing Oscillator},
  author={A. Hassan},
  • A. Hassan
  • Published 1994
  • Mathematics
  • Abstract The third order superharmonic resonance in two versions of a harmonically excited Duffing oscillator is investigated by analytical and numerical methods. It is shown that even in situations for which a non-linear oscillator may be thought a priori to satisfy the "small perturbation" requirements, the analytical results obtained by the amplitude-expansion method of perturbation analysis may lead to incomplete and/or erroneous results. For harmonically excited, non-linear oscillators… CONTINUE READING

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