|
| Stochastic Resonance in Fractional-order Underdamped Bistable Systems by Statistical Complexity Measures |
| Received:July 02, 2020 Revised:August 06, 2020 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7643/issn.1672-9242.2020.09.015 |
| KeyWord:fractional-order bistable system statistical complexity normalized Shannon entropy stochastic resonance |
| Author | Institution |
| DANG Pu-ni |
AVIC the First Aircraft Institute, Xi’an , China |
| SUN Zhong-kui |
Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an , China |
| LYU Jin-feng |
AVIC the First Aircraft Institute, Xi’an , China |
|
| Hits: |
| Download times: |
| Abstract: |
| The paper aims to study the stochastic resonance of fractional-order bistable system under the action of Gaussian white noise. The statistical complexity method was applied to explore the effect of parameters such as fractional-order derivative, amplitude and frequency of cosine signal as well as damping coefficient on the stochastic resonance of fractional-order system. It can be observed that the trends of the curves of the statistical complexity and the normalized Shannon entropy of the system were various with the changing of the system parameters. And when the fractional derivative was q=0.3, the system was most prone to stochastic resonance phenomenon. In addition, the stochastic resonance effect can be enhanced when the signal amplitude was increased to 0.2. Conversely, increasing the signal frequency to 0.07 could weaken this phenomenon. It can be concluded that these factors can effectively adjust the stochastic resonance phenomenon of the fractional-order bistable system. |
| Close |
|
|
|