Complex dynamics in repeated impact oscillators

S. Salapaka, M. V. Salapaka, M. Dahleh, I. Mezic

Research output: Contribution to journalConference articlepeer-review


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 languageEnglish (US)
Pages (from-to)2053-2058
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - Dec 1 1998
Externally publishedYes
EventProceedings of the 1998 37th IEEE Conference on Decision and Control (CDC) - Tampa, FL, USA
Duration: Dec 16 1998Dec 18 1998

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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