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
Official URL: http://www.sciencedirect.com/science/journal/0362546X
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.
|Uncontrolled Keywords:||Phase plane analysis; Stability; Asymptotic behavior; H2older continuous nonlinearity|
|Subjects:||Sciences > Mathematics > Differential equations|
|Deposited On:||23 Mar 2011 16:27|
|Last Modified:||23 Mar 2011 16:27|
Repository Staff Only: item control page