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2013 Delayed Feedback Control and Bifurcation Analysis of an Autonomy System
Zhen Wang, Huitao Zhao, Xiangyu Kong
Abstr. Appl. Anal. 2013(SI01): 1-10 (2013). DOI: 10.1155/2013/167065

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.

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Zhen Wang. Huitao Zhao. Xiangyu Kong. "Delayed Feedback Control and Bifurcation Analysis of an Autonomy System." Abstr. Appl. Anal. 2013 (SI01) 1 - 10, 2013. https://doi.org/10.1155/2013/167065

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1271.93081
MathSciNet: MR3049371
Digital Object Identifier: 10.1155/2013/167065

Rights: Copyright © 2013 Hindawi

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