期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 219, 期 19, 页码 10073-10081出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2013.04.014
关键词
Stability; Hopf bifurcation; Fold bifurcation; Time delay; Active control
资金
- National Natural Science Foundation of China [10972073, 11032004, 11102063, 11272119]
- [NCET-09-0335]
In this study, a model of active control system with time delay feedback is investigated, and time delays were set in control loop. An efficient method was used to analyze the stability of the system. By solving the characteristic equation, the local stability and the existence of codimension one bifurcation (Hopf bifurcation and fold bifurcation) were obtained. Regarding the time delay as bifurcation parameters, the direction of the Hopf bifurcation and the stability of bifurcation periodic solution by applying the normal form theory and center manifold theorem. Numerical simulations were also given to illustrate the results obtained. (C) 2013 Elsevier Inc. All rights reserved.
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