On a class of non-smooth oscillators

Coman, C.D. (2003) On a class of non-smooth oscillators. Dynamical Systems, 18(1), pp. 1-22. (doi: 10.1080/14689360210160869)

Abstract

The aim of this paper is to provide a unifying framework for several models of non-smooth oscillators with hysteresis which have attracted considerable interest in the engineering literature over the past three decades. By using the theory of maximal monotone operators in conjunction with a relatively recent result of Haraux and Otani (1990, Journal of the Mathematical Society of Japan , 42 : 277-294) we are able to characterize the attractors of these systems; in particular, it is shown that the study of their bounded orbits lies at the heart of understanding their possible dynamics. The interplay between material nonlinearity and viscous damping is analysed for a special case of the original model and some new features of this problem are revealed.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Coman, Dr Ciprian
• Authors: Coman, C.D.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Dynamical Systems
• ISSN: 1468-9367
• ISSN (Online): 1468-9375