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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Chatter Dynamics on Impulse Surfaces in Impulsive Differential Systems

Journal of Applied Nonlinear Dynamics 2(4) (2013) 373--396 | DOI:10.5890/JAND.2013.11.005

Shasha Zheng; Xilin Fu

School of Management Science and Engineering, Shandong Normal University, Ji’nan, 250014, P.R. China

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Abstract

In this article, we discuss the pulse phenomena for a class of impulsive differential systems from the angle of discontinuity, consider the systems as a global discontinuous one consisting of two uniquelycontinuous subsystems and investigate its chatter dynamics. We introduce the method of flow theory and focus on the dynamical behaviors on the impulse surface. By deliberating analytical criteria for the transversality of a flow to the boundary surface, some sufficient conditions that guarantee the absence of pulse phenomena are obtained. We generalize several known results and some examples are given to apply the theory.

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