Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5488158 | Chinese Journal of Physics | 2017 | 18 Pages |
Abstract
We investigated the vibrational resonance in fractional-order overdamped multistable systems theoretically and numerically. For a given fractional order p, our results show that the response amplitude exhibits a series of peaks as the frequency or the amplitude of the high frequency input varies. However, when the low-frequency input increases, the response amplitude exhibits unimodal resonance for 1 < p < 2. Additionally, for different values of p, whether the response amplitude changes monotonically depends on the degree of spatial potential asymmetry. The mechanism by which p affects the resonance behavior is analyzed. Our results indicate that the value of p affects the resonance behavior by either altering the conditions under which the response amplitude attains its extreme values, or by altering the oscillating frequency of the response amplitude with varying systematic parameters.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Atomic and Molecular Physics, and Optics
Authors
Qin Tianqi, Xie Tianting, Luo Maokang, Deng Ke,