On a class of non-smooth oscillators

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 Ôtani (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.

LanguageEnglish
Pages1-22
Number of pages22
JournalDynamical Systems
Volume18
Issue number1
DOIs
Publication statusPublished - 1 Mar 2003
Externally publishedYes

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Maximal Monotone Operator
Hysteresis
Japan
Attractor
Damping
Orbits
Orbit
Nonlinearity
Engineering
Model
Class
Framework
Heart

Cite this

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On a class of non-smooth oscillators. / Coman, Ciprian D.

In: Dynamical Systems, Vol. 18, No. 1, 01.03.2003, p. 1-22.

Research output: Contribution to journalArticle

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