Abstract
Based on the frequency response of the fractional integral operator, this work analyses the limitations of frequency domain approximation algorithm in the calculation of fractional order chaotic systems. The frequency domain approximation algorithm can approach to the original system in desired frequency band, but in the low and high frequency band there are large errors. Therefore, there are some limitations in the calculation of fractional chaotic system. Comparing with the predictor-corrector algorithm, totally different conclusions can be got by the frequency domain approximation algorithm. Taking the fractional Chen system as an example, numerical simulation results verify the effectiveness of our results.
| Original language | English |
|---|---|
| Pages (from-to) | 8-12 |
| Number of pages | 5 |
| Journal | Harbin Gongye Daxue Xuebao/Journal of Harbin Institute of Technology |
| Volume | 43 |
| Issue number | 5 |
| State | Published - May 2011 |
Keywords
- Chaotic system
- Fractional-order system
- Frequency domain approximation
- Predictor-corrector algorithm
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