期刊
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS
卷 10, 期 1, 页码 173-186出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s13042-017-0707-3
关键词
Competitive web-site; Time delay; Hopf bifurcation; Incommensurate-order; Bifurcation control
资金
- National Natural Science Foundation of China [61573096, 61272530, 61573194]
- National Science Foundational of Jiangsu Province of China [BK2012741]
- 333 Engineering Foundation of Jiangsu Province of China [BRA2015286]
The delayed competitive web-site system with incommensurate fractional orders, based on the Lotka-Volterra competition model, is firstly proposed in this paper. It is demonstrated that there is a stability switch for time delay, Hopf bifurcation occurs when time delay crosses through a critical value and each order has important influence on the creation of bifurcation. Furthermore, a nonlinear delayed feedback control is successfully designed to postpone the onset of Hopf bifurcation, extend the stability domain, and then the system possesses the stability in a larger parameter range. Finally, numerical simulations are included to illustrate the efficiency of the obtained theoretical results.
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