期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 347, 期 -, 页码 808-838出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2018.11.031
关键词
Fractional-order; Time delay; Extended feedback; Bifurcation control; Predator-prey system
资金
- Nanhu Scholars Program for Young Scholars of Xinyang Normal University
This paper aims at controlling bifurcation of a fractional predator-prey system by an original extended delayed feedback controller. Firstly, some sufficient conditions of delay-induced bifurcations for such uncontrolled system are captured regarding time delay as a bifurcation parameter. Secondly, a generalised delayed feedback controller is subtly designed to control Hopf bifurcation for the proposed system. It suggests that bifurcation dynamics can be controlled efficaciously for such system by carefully adjusting extended feedback delay or fractional order so long as the other parameters are established. Thirdly, the bifurcation diagrams are meticulously plotted. The obtained results consumedly popularize the previous studies concerning bifurcation control of delayed fractional-order systems. To underline the effectiveness of the proposed control scheme, some numerical simulations are ultimately addressed. (C) 2018 Elsevier Inc. All rights reserved.
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