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


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.

Abstract

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.

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8 citations in Web of Science®
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Additional indexing

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:05 Apr 2016 13:24
Publisher:Elsevier
ISSN:0362-546X
Additional Information:Copyright © 2003 Elsevier Ltd. All rights reserved
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
Permanent URL: https://doi.org/10.5167/uzh-21839

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