Nonlinear Dynamics of a Nonlinear Damping Gyroscope and Its Passive Control

This article deals with the analysis of effects passive control on complex dynamics a nonlinear damping gyroscope. After modeling gyroscope under influence force, using harmonic balance method, amplitudes oscillations are determined. Subsequently, Routh–Hurwitz criterion is used to analyze and determine stability domains oscillations. The force parameters amplitude studied. chaotic coexistence attractors performed through bifurcation diagrams, Lyapunov exponents, phase portraits, time series. Numerical simulations confirm effectiveness force. revealed that oscillations, dynamics, rotating better controlled when latter vibrates in opposite direction