Delayed Feedback Control and Bifurcation Analysis of an Autonomy System

Zhen Wang, Huitao Zhao and Xiangyu Kong

Abstract and Applied Analysis, 2013, vol. 2013, 1-10

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:167065

DOI: 10.1155/2013/167065

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