A note on the dynamics of an oscillator in the presence of strong friction

We study the longtime behavior of the solutions of a second-order autonomous differential equation, differing from the one of a harmonic oscillator by a nonlinear friction term being only Hölder continuous. In particular, we show that there are two solution curves reaching the rest point in finite t...

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Veröffentlicht in:	Nonlinear analysis 2003-11, Vol.55 (3), p.209-216
Hauptverfasser:	Amann, H., Diaz, J.I.
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic behavior Exact sciences and technology Hölder continuous nonlinearity Mathematical analysis Mathematics Ordinary differential equations Phase plane analysis Sciences and techniques of general use Stability
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Beschreibung
Zusammenfassung:	We study the longtime behavior of the solutions of a second-order autonomous differential equation, differing from the one of a harmonic oscillator by a nonlinear friction term being only Hölder continuous. In particular, we show that there are two solution curves reaching the rest point in finite time.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/S0362-546X(03)00221-9