Bifurcation analysis in delayed feedback Jerk systems and application of chaotic control

Baodong Zheng and Huifeng Zheng

Chaos, Solitons & Fractals, 2009, vol. 40, issue 3, 1190-1206

Abstract: Jerk systems with delayed feedback are considered. Firstly, by employing the polynomial theorem to analyze the distribution of the roots to the associated characteristic equation, the conditions of ensuring the existence of Hopf bifurcation are given. Secondly, the stability and direction of the Hopf bifurcation are determined by applying the normal form method and center manifold theorem. Finally, the application to chaotic control is investigated, and some numerical simulations are carried out to illustrate the obtained results.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:3:p:1190-1206

DOI: 10.1016/j.chaos.2007.08.074

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