Delayed Feedback Control and Bifurcation Analysis of an Autonomy System

Zhen Wang, Huitao Zhao, Xiangyu Kong
2013 Abstract and Applied Analysis  
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.
doi:10.1155/2013/167065 fatcat:lr2jcj3yrbcftdl3ujl6ltyk5e