Double Hopf bifurcation of time-delayed feedback control for maglev system |
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| Authors: | Lingling Zhang Zhizhou Zhang Lihong Huang |
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| Institution: | 1. Department of Information Technology, Hunan Women??s University, Changsha, Hunan, 410004, P.R. China
2. College of Aerospace and Materials Engineering, National University of Defense Technology, Changsha, Hunan, 410073, P.R. China
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| Abstract: | This paper undertakes an analysis of a double Hopf bifurcation of a maglev system with time-delayed feedback. At the intersection point of the Hopf bifurcation curves in velocity feedback control gain and time delay space, the maglev system has a codimension 2 double Hopf bifurcation. To gain insight into the periodic solution which arises from the double Hopf bifurcation and the unfolding, we calculate the normal form of double Hopf bifurcation using the method of multiple scales. Numerical simulations are carried out with two pairs of feedback control parameters, which show different unfoldings of the maglev system and we verify the theoretical analysis. |
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