2006 International Conference in Honor of Jacqueline Fleckinger.
Electronic Journal of Differential Equations,
Conference 16 (2007), pp. 95-102. 

Title: Asymptotic behavior of a weakly forced dry friction oscillator

Authors: J. Ildefonso Diaz (Univ. Complutense de Madrid, Spain)
         Georg Hetzer (Auburn Univ., AL, USA)
 
Abstract: 
 This note is devoted to stick-slip aspects of the
 motion of a dry friction damped oscillator under weak irregular
 forcing. Our main result complements [10, Theorem 3.(a)] and
 is also related to [1], where a non-Lipschitz model for
 Coulomb friction was consider in the unforced case. We provide
 sufficient conditions guaranteeing that solutions stabilizing in
 finite time, but observe also an infinite succession of
 ``stick-slip'' behavior. The last section discusses an extension to
 certain systems of such oscillators.

Published May 15, 2007.
Math Subject Classifications: 34A60, 34D05.
Key Words: Nonlinear oscillators and systems; dry friction; dead zone;
           extinction in finite time; stick-slip motion.