Modeling of a Chaotic Gyrostat System and Mechanism Analysis of Dynamics Using Force and Energy

Figure 4

System under full torques. (a) 3D orbits with flowing stored energy, (b) time series of the stored energy, error power, and angular velocity , (c) intersection of the chaotic system trajectory and hyperboloid of the Casimir function, the maxima and minima of which are marked by red circles and yellow stars, respectively, and (d) signs of extrema and equilibrium points on the four-wing chaotic attractor.

(a)

(b)

(c)

(d)