J. Ildefonso Diaz, Georg Hetzer
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 , 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.
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| Jesus Ildefonso Díaz |
Departamento de Matemática Aplicada
Universidad Complutense de Madrid, 28040 Madrid, Spain
| Georg Hetzer |
Department of Mathematics and Statistics
Auburn University, AL 36849-5310, USA
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