Chattering as a singular problem

AKHMET M. , Cag S.

NONLINEAR DYNAMICS, vol.90, no.4, pp.2797-2812, 2017 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 90 Issue: 4
  • Publication Date: 2017
  • Doi Number: 10.1007/s11071-017-3840-3
  • Title of Journal : NONLINEAR DYNAMICS
  • Page Numbers: pp.2797-2812


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.