“…With deeper understanding of the gyroscopic dynamics, the nonlinear properties of gyroscopic systems gradually became research focus, including the responses to external excitation and parametric resonance studied by perturbation method [4] and numerical method [5], and the mode interactions due to internal resonance [6]. Currently, great progress has been made towards exploration of various gyroscopic structures, involving the fluid-structure interaction systems [7,8], axially moving systems [9] and rotating bodies [10]. The threebody problems in celestial mechanics, a discrete gyroscopic system, are also concerned in nonlinear dynamic realm [11].…”