Journal
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS
Volume 10, Issue 1, Pages 173-186Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s13042-017-0707-3
Keywords
Competitive web-site; Time delay; Hopf bifurcation; Incommensurate-order; Bifurcation control
Categories
Funding
- 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]
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available