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Dynamical analysis,feedback control and synchronization of Liu dynamical system
Authors:AE Matouk
Institution:Mathematics Department, Faculty of Science, Hail University, Hail, 2440, Saudi Arabia
Abstract:Dynamical behaviors of Liu system is studied using Routh–Hurwitz criteria, Center manifold theorem and Hopf bifurcation theorem. Periodic solutions and their stabilities about the equilibrium points are studied by using Hsü & Kazarinoff theorem. Linear feedback control techniques are used to stabilize and synchronize the chaotic Liu system.
Keywords:Liu system  Local stability  Pitchfork bifurcation  Hopf bifurcation  Supercritical (subcritical) bifurcations  Linear feedback control  Linear feedback synchronization
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