Dynamics of Discontinuous Systems with Imperfections and Noise
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Many physical systems of engineering importance are discontinuous (examples include systems with impacts, freeplay, backlash, gears). The study of deterministic versions of these systems is now well established but these models tend to ignore any imperfections in the system or the effects of noise. In this paper we show how the introduction of imperfections and noise can have a dramatic effect on the systems behaviour. We focus our attention on a much studied simple generic model of discontinuous systems, namely that of the piecewise linear map and its associated ordinary differential equation.
Key wordsDiscontinuous systems imperfections noise
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- M.I. Feigin, “Fundamental dynamic models and criteria of C-bifurcation structures for piecewise smooth systems,” Proceedings of the International Symposium on Analysis and Synthesis of Nonlinear Dynamical Systems, 30–40, June, Riga, Latvia, 1996.Google Scholar