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Chattering as a singular problem
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DOI：10.1007/s11071-017-3840-3.png)
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Abstract
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This paper presents the chattering through the singularity point of view for the first time. The main novelty of this article is that impact moments are considered as a singularity phenomenon. A bouncing ball, an inverted pendulum and a hydraulic relief valve models are considered for the study. Moreover, the behavior of solutions of a spring-mass system is studied for the small mass. Simulations are given to support the theoretical analysis.
Keywords:
Singularity in impact moments
Chattering
Singular perturbation
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