This work deals with a model for repeated impacts of a mass attached to a spring with a massive, sinusoidally vibrating table. This model has been studied in an attempt to understand the cantilever-sample dynamics in atomic force microscopy. In this work, we have shown that for some values of the frequency of the vibrating table, there are countably many orbits of arbitrarily long periods and the system is sensitive to the initial conditions with which the experiments are conducted.
|Original language||English (US)|
|Number of pages||6|
|Journal||Proceedings of the IEEE Conference on Decision and Control|
|State||Published - Dec 1 1998|
|Event||Proceedings of the 1998 37th IEEE Conference on Decision and Control (CDC) - Tampa, FL, USA|
Duration: Dec 16 1998 → Dec 18 1998