Abstract:
This paper concerned with the motion of two contacting cylinders, there is dry friction between them. Filippov's theory of discontinuous differential equations is used to study ODE system. The forward uniqueness of the solution is proven, the phase portrait is drawn, its bifurcation is studied. These results allow us to describe the motions of the given mechanical system, in particular, to describe the seizing and permanent rotation conditions.
Key words:differential inclusions, Filippov's regularization, systems with friction.
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