Issue |
ESAIM: COCV
Volume 9, February 2003
|
|
---|---|---|
Page(s) | 231 - 246 | |
DOI | https://doi.org/10.1051/cocv:2003006 | |
Published online | 15 September 2003 |
The Nonlinearly Damped Oscillator
Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain; juanluis.vazquez@uam.es.
Received:
18
September
2002
Revised:
29
November
2002
We study the large-time behaviour of the
nonlinear oscillator
where m, k>0 and f is a monotone real function representing
nonlinear friction. We are interested in understanding the
long-time effect of a nonlinear damping term, with special
attention to the model case
with
α real, A>0. We characterize the existence and behaviour
of fast orbits, i.e., orbits that stop in finite time.
Mathematics Subject Classification: 34C15
Key words: Nonlinear oscillator / nonlinear damping / fast orbits.
© EDP Sciences, SMAI, 2003
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