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Enhancing the Weak Signal With Arbitrary High-Frequency by Vibrational Resonance in Fractional-Order Duffing Oscillators
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: When the traditional vibrational resonance (VR) occurs in a nonlinear system, a weak character signal is enhanced by an appropriate high-frequency auxiliary signal. Here, for the harmonic character signal case, the frequency ...
Bifurcation Transition and Nonlinear Response in a Fractional Order System
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We extend a typical system that possesses a transcritical bifurcation to a fractionalorder version. The bifurcation and the resonance phenomenon in the considered system are investigated by both analytical and numerical ...