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Abstract

This paper concerns a mass-spring-damper linear oscillator with endstop system. The parameter dependence of the impact oscillator is studied and the techniques of the bifurcation diagram, phase trajectory, impact map and Poincare map are applied. For the driving frequency ranges that no explicit solutions in analytical method, a complete bifurcation diagram is plotted using numerical solutions. Consequently, the phenomena of the complete, incomplete and chaotic chattering are classified as m-impact period-n motion using impact map and Poincare map.

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