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Bifurcation analysis and feedback control of a 3D chaotic system |
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| Authors: | Zhen Wang |
| Affiliation: | (1) Faculty of Science, Shaanxi University of Science and Technology, Xi’an, Shaanxi, 710021, P. R. China |
| Abstract: | In this paper, we analyze a three-dimensional differential system derived from the Chen system based on the first Lyapunov coefficient, and apply it to investigate the local bifurcation. And we present some insights on bifurcation and stability, also obtain some conditions for subcritical and supercritical. Finally, we give some numerical simulation studies of system in order to verify analytic results. |
| Keywords: | Hopf bifurcation Chaotic System Homogeneous polynomials CHAOTIC SYSTEM FEEDBACK CONTROL ANALYSIS numerical simulation studies differential system in order verify analytic results conditions subcritical supercritical present local bifurcation stability apply analyze derived Chen system |
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