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

Díaz Díaz, Jesús Ildefonso and Amann, H. (2003) A note on the dynamics of an oscillator in the presence of strong friction. Nonlinear Analysis Theory, Methods & Applications, 55 (3). pp. 209-216. ISSN 0362-546X

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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.

Item Type:Article
Uncontrolled Keywords:Phase plane analysis; Stability; Asymptotic behavior; H2older continuous nonlinearity
Subjects:Sciences > Mathematics > Differential equations
ID Code:12469
Deposited On:23 Mar 2011 15:27
Last Modified:06 Feb 2014 09:25

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