Some new advance on the research of stochastic non-smooth systems

doi:10.1088/1674-1056/27/11/110503

Abstract

Due to the extensive applicability in real life, the non-smooth system with random factors attracted much attention in past two decades. A lot of methods and techniques have been proposed to research these systems by scholars. In this paper, we will summarize some new research advance on the stochastic non-smooth systems. The existing results about the stochastic vibro-impact system, the stochastic friction system, and the stochastic hysteretic system are introduced respectively. Some conclusions and outlook are given at the end.

Keywords: non-smooth system random factor vibro-impact system friction system hysteretic system

Received: 16 July 2018
Revised: 19 September 2018
Accepted manuscript online:

PACS:	05.10.-a	(Computational methods in statistical physics and nonlinear dynamics)
	05.40.-a	(Fluctuation phenomena, random processes, noise, and Brownian motion)
	05.45.-a	(Nonlinear dynamics and chaos)

Fund:

Projected supported by the National Natural Science Foundation of China (Grant No. 11472212), the Natural Science Basic Research Plan in Shaanxi Province, China (Grant No. 2018JM1043), and the Fundamental Research Fund for the Central Universities, China (Grant No. 3102018ZY043).

Corresponding Authors: Liang Wang
E-mail: liangwang1129@nwpu.edu.cn

Cite this article:

Wei Xu(徐伟), Liang Wang(王亮), Jinqian Feng(冯进钤), Yan Qiao(乔艳), Ping Han(韩平) Some new advance on the research of stochastic non-smooth systems 2018 Chin. Phys. B 27 110503

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