Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

Multiple-Nodding Oscillations of a Driven Inverted Pendulum

D. J. Acheson
Proceedings: Mathematical and Physical Sciences
Vol. 448, No. 1932 (Jan. 9, 1995), pp. 89-95
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/52505
Page Count: 7
  • Read Online (Free)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Multiple-Nodding Oscillations of a Driven Inverted Pendulum
Preview not available

Abstract

It has long been known that a simple rigid pendulum can be stabilized against small disturbances in its upside-down state by rapid vertical oscillations of its pivot. Over part of the parameter range for which this happens we find that there is a second, quite different way in which the pendulum can avoid falling over, namely by getting trapped in a limit cycle oscillation about the upward vertical. Each upside-down oscillation of this kind has a distinctive `multiple-nodding' character.

Page Thumbnails

  • Thumbnail: Page 
89
    89
  • Thumbnail: Page 
90
    90
  • Thumbnail: Page 
91
    91
  • Thumbnail: Page 
92
    92
  • Thumbnail: Page 
93
    93
  • Thumbnail: Page 
94
    94
  • Thumbnail: Page 
95
    95