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Experimental Aspects

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

Abstract

Our aim in this chapter is mostly to describe measurement techniques which have a solid theoretical background. As usual, in Nature, one has no way of knowing whether the necessary mathematical assumptions are satisfied by a given system. But it turns out that it is very useful, in concrete examples, to act “as if” they were true. We do not enter into the many details which have been studied in the experimental-theoretical literature, such as optimal methods to work with not so abundant data, nonlinear fits to discover the evolution equations, and the like. There is a large literature on this subject; see e.g. (Grassberger, Schreiber, and Schaffrath 1991) and references therein.

Keywords

Correlation Function Phase Space Lyapunov Exponent Invariant Measure Ergodic Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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