Journal of Applied Mathematics / 2012 / Article / Fig 12

Research Article

Towards a Prototype of a Spherical Tippe Top

Figure 12

Trajectories of the system (3.15)-(3.16) projected onto the subspace of variables for an eccentric ball of Group IIb with friction . The bold-solid curve is that of intermediate states (5.4), (5.5), and (5.10); the line in the -plane represents the initial condition . For , fixed points on are unstable. Trajectories are then attracted to a stable intermediate state (a point on the solid curve) for or to a point on the plane (i.e., flipping occurs) for . The two insets are details at the starting position, one for the stable case and one for the unstable case. The parameters are chosen as , , and .
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