𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the existence of a stable periodic solution of an impacting oscillator with damping

✍ Scribed by Krzysztof Czolczynski

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
828 KB
Volume
19
Category
Article
ISSN
0960-0779

No coin nor oath required. For personal study only.

✦ Synopsis

A system that consists of an impacting oscillator with damping has been considered in this paper. In the first part a method of analytical determination of the existence of periodic solutions to the equations of motion and a method of analysis of the stability of these solutions have been presented. The results of the computations carried out by means of these methods have been illustrated by a few examples. In the second part of the paper, the results of some numerical investigations have been presented. The goal of these studies was to determine, in which regions of parameters characterizing the system, the motion of the oscillator is periodic and stable.

πŸ“œ SIMILAR VOLUMES

Existence of a Solution of the Wave Equa
Existence of a Solution of the Wave Equation with Nonlinear Damping and Source Terms
✍ V. Georgiev; G. Todorova πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 375 KB

We study the nonlinear wave equation involving the nonlinear damping term \(u_{i}\left|u_{t}\right|^{m-1}\) and a source term of type \(u|u|^{p-1}\). For \(1<p \leqslant m\) we prove a global existence theorem with large initial data. For \(1<m<p\) a blow-up result is established for sufficiently la