Dynamics and delayed feedback control for a 3D jerk system with hidden attractor

A 3D jerk system with only one stable equilibria was presented and discussed. Some periodic orbits and chaotic behaviors of this system are obtained. Meanwhile, a delayed feedback control scheme for this system was proposed. By using the method of projection for center manifold computation, Hopf bifurcation for the delayed feedback control system was analyzed and obtained. The simulation results demonstrate the correctness of the Hopf bifurcation analysis and the effectiveness of the proposed delayed feedback control strategy.

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