Making chaotic behavior in a linear harmonic oscillator forced by unknown periodic signals

摘要

The linear harmonic oscillator forced by a sinsiuonal signal is the most important and fundamental non-autonoumous system. This paper proposes a controller which makes chaotic behavior in the linear harmonic oscillator forced by an unknown sinsional signal. This controller can be designed by a systematic procedure. Furthermore, the controller works well for any periodic force which has piecewise continuous.