Having found hidden hyperchaos in a 5D self-exciting homopolar disc dynamo, we study the existence of a Hopf bifurcation, which leads to unstable limit cycles bifurcating from a stable equilibrium. Hidden chaos with only stable equilibria can be observed from the Hopf bifurcation: a typical way to enable hidden attractors to be located. We then provide a new fuzzy controller, and a fast fuzzy disturbance observer, based on terminal sliding mode control for synchronization of the hyperchaotic system. Fuzzy inference is considered to weaken the chattering phenomena. Using Lyapunov stability theory, the stability of the closed-loop system is proved. Finally, simulations of synchronization are illustrated to show the efficient performance of the designed control method via external disturbances and dynamic uncertainties.

在5D自激同极圆盘发电机中发现隐藏的超混沌之后，我们研究了Hopf分叉的存在，这导致不稳定的极限环从稳定的平衡分叉。从Hopf分支中可以观察到只有稳定平衡的隐藏混沌：这是使隐藏吸引子得以定位的一种典型方法。然后，我们提供了基于终端滑模控制的超混沌系统同步的新模糊控制器和快速模糊扰动观测器。模糊推理被认为可以减弱抖动现象。利用李雅普诺夫稳定性理论，证明了闭环系统的稳定性。最后，说明了同步仿真，以显示设计的控制方法通过外部干扰和动态不确定性的有效性能。