A Basic Problem

  • Pierre Collet
  • Jean-Pierre Eckmann
Part of the Theoretical and Mathematical Physics book series (TMP)


Before we start with the subject proper, it is perhaps useful to look at a concretephysical example, which can be easily built in the laboratory. It is a pendulum with a magnet at the end, which oscillates above three symmetrically arranged fixed magnets, which attract the oscillating magnet, as shown in Fig. 1.1. When one holds the magnet slightly eccentrically and let it go, it will dance around the three magnets, and finally settle at one of the three, when friction has slowed it down enough.


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Copyright information

© Springer 2006

Authors and Affiliations

  • Pierre Collet
    • 1
  • Jean-Pierre Eckmann
    • 2
  1. 1.Center of Theoretical Physics École PolytechniquePalaiseauFrance
  2. 2.Department of Theoretical Physics and Mathematics SectionUniversity of GenevaSwitzerland

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