| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 760336 | Communications in Nonlinear Science and Numerical Simulation | 2006 | 11 Pages |
Abstract
The non-linearity caused by the application of digital control may lead to transient chaotic behaviour. In the present paper, we analyse a simple model of a digitally controlled mechanical system with dry friction, which may perform transient chaotic vibrations. As a consequence of the digital effects, the behaviour of this system can be described by a 1D piecewise linear map. The fractal dimension of the so-called chaotic repeller set is calculated and the results are used for the quick estimation of the mean lifetime of chaotic transients.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Gábor Csernák, Gábor Stépán,