期刊
EUROPEAN PHYSICAL JOURNAL PLUS
卷 132, 期 11, 页码 -出版社
SPRINGER HEIDELBERG
DOI: 10.1140/epjp/i2017-11699-9
关键词
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资金
- National Nature Science Foundation of China [61201227]
- Funding of China Scholarship Council
- Natural Science Foundation of Anhui Province [1208085M F93]
- 211 Innovation Team of Anhui University [KJTD007A, KJTD001B]
In this paper, a time-delayed feedback controller is proposed in order to control chaos and Hopf bifurcation in a fractional-order memristor-based chaotic system with time delay. The associated characteristic equation is established by regarding the time delay as a bifurcation parameter. A set of conditions which ensure the existence of the Hopf bifurcation are gained by analyzing the corresponding characteristic equation. Then, we discuss the influence of feedback gain on the critical value of fractional order and time delay in the controlled system. Theoretical analysis shows that the controller is effective in delaying the Hopf bifurcation critical value via decreasing the feedback gain. Finally, some numerical simulations are presented to prove the validity of our theoretical analysis and confirm that the time-delayed feedback controller is valid in controlling chaos and Hopf bifurcation in the fractional-order memristor-based system.
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