Delayed Feedback Control and Bifurcation Analysis of an Autonomy System

作者:Wang, Zhen*; Zhao, Huitao; Kong, Xiangyu
来源:Abstract and Applied Analysis, 2013, 2013: 167065.
DOI:10.1155/2013/167065

摘要

An autonomy system with time-delayed feedback is studied by using the theory of functional differential equation and Hassard's method; the conditions on which zero equilibrium exists and Hopf bifurcation occurs are given, the qualities of the Hopf bifurcation are also studied. Finally, several numerical simulations are given; which indicate that when the delay passes through certain critical values, chaotic oscillation is converted into a stable state or a stable periodic orbit.

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