The Backbone of Fractals: Feedback and the Iterator

  • Heinz-Otto Peitgen
  • Hartmut Jürgens
  • Dietmar Saupe

Abstract

Unfortunately, May’s emphatic message has remained largely unheard, at least as far as mathematics education is concerned. What are the phenomena to which he refers? And why is he convinced that they are of such outstanding importance? We will carefully imbed his message into a larger frame before we explore his results in greater detail.

Keywords

Decimal Place Feedback Process Lens System Input Unit Fibonacci Sequence 
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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References

  1. 1.
    R. M. May, Simple mathematical models with very complicated dynamics, Nature 261 (1976) 459–467.Google Scholar
  2. 5.
    J. P. Crutchfield, Space-time dynamics in video feedback, Physica 10D (1984) 229–245.Google Scholar
  3. 12.
    James Gleick, Chaos, Making a New Science, Viking, New York, 1987.Google Scholar

Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Heinz-Otto Peitgen
    • 1
    • 2
  • Hartmut Jürgens
    • 1
  • Dietmar Saupe
    • 1
  1. 1.Institut für Dynamische SystemeUniversität BremenBremen 33Federal Republic of Germany
  2. 2.Department of MathematicsFlorida Atlantic UniversityBoca RatonUSA

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