Amann, H; Diaz, J (2003). A note on the dynamics of an oscillator in the presence of strong friction. Nonlinear Analysis: Theory, Methods & Applications, 55(3):209-216.
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.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Uncontrolled Keywords: | Phase plane analysis, Stability, Asymptotic behavior, Hölder continuous nonlinearity |
| Language: | English |
| Date: | 2003 |
| Deposited On: | 29 Nov 2010 16:26 |
| Last Modified: | 19 Feb 2018 21:12 |
| Publisher: | Elsevier |
| ISSN: | 0362-546X |
| Additional Information: | Copyright © 2003 Elsevier Ltd. All rights reserved |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1016/S0362-546X(03)00221-9 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=2007469 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1035.34023 |
Amann, H