Vibrational Resonance in Fractional-Order Anharmonic Oscillators

The phenomenon of vibrational resonance in fractional-order anharmonic oscillators is investigated. Based on the method of separating slow and fast motions, the approximate solution of the response amplitude is obtained. Both analytical and numerical results show that not only the high-frequency signal but also the fractional-order damping can induce vibrational resonance. The present results provide a new way to control periodical signals in coupled systems.