Advances in Differential Equations and Control Processes
Volume 8, Issue 2, Pages 91 - 110
(November 2011)
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BIFURCATION ANALYSIS AND CHAOS CONTROL IN LU SYSTEM WITH DISTRIBUTED DELAY FEEDBACK
Junbiao Guan
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Abstract: In this paper, Lü system with the continuous distributed delay feedback is investigated. Its linear stability is studied based on the Routh-Hurwitz criteria. By choosing the mean time delay as the bifurcation parameter, the occurrence of Hopf bifurcations is explored. The direction and the stability criteria of the bifurcating periodic solutions are determined by applying the normal form theory and the center manifold theorem. Finally, a numerical example is presented to show the effectiveness of the theoretical analysis. |
Keywords and phrases: Hopf bifurcation, distributed delay feedback, chaos control. |
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