The Nonlinearly Damped Oscillator
Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain; firstname.lastname@example.org.
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