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Titlebook: Dynamics of Vibro-Impact Systems; Proceedings of the E V. I. Babitsky Conference proceedings 1999 Springer-Verlag Berlin Heidelberg 1999 ch

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Stability improvement of the vibro-impact discrete systems,op application is to make the return to the vibro-impact periodic motion after the occurrence of disturbances quicker than in the case without the loop. The proposed analytical approach yields the required delay loop coefficients. The original vibro-impact map is described which allows to solve the
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Exact solutions for a discrete systems undergoing free vibro-impact oscillations,stic vibro-impacts. The imposition of suitable boundary conditions at the instants of impacts eliminates the singularities introduced by the transformations, and the smoothened problem is solved numerically. Numerical analysis reveals vibro-impact solutions of complicated form and interesting bifurc
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