부산대학교 도서관

A lot of mechanical oscillating systems have nonlinearity which cannot be neglected. A Duffing oscillator can successfully approximate the nonlinearity present in a majority of oscillating mechanic systems. When driven with a periodic force it may respond with motion having single or multiple periodicities or may even display chaotic behaviour depending on the strength of the driving force. The response could range from a simple harmonic motion to complex chaotic trajectories. This complexity in the response of a driven Duffing oscillator is studied independently using both classical and quantum models which are used to investigate stochastic process. Regions in the bifurcation diagram with single and multiple periodicity and chaotic behaviour can be distinguished using both algorithms. Further, both algorithms show variation in their output within the chaotic range indicating that all chaotic time series may not be same in terms of their complexity. [ABSTRACT FROM AUTHOR]