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Visualization and Dynamical Systems

  • John Hubbard
Part of the Mathematics and Visualization book series (MATHVISUAL)

Abstract

When asked to explain what my mathematics is about, I often answer by showing pictures illustrating the behavior of the dynamical systems I study. Non-mathematicians usually respond with interest, at least polite interest but sometimes much more. They often express amazement that my pictures are in any way related to mathematics. Mathematicians are also often interested, but many (fewer as time goes on) dismiss what I do as some sort of “fad math” devoid of theorems.

Keywords

Computer Graphic Periodic Point Unstable Manifold Polite Interest Tohoku Math 
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.
    Hubbard J. H., (1999) The Forced Damped Pendulum: Chaos, Complication and Control, Am. Math. Monthly, 106, 8, 741–758MathSciNetzbMATHCrossRefGoogle Scholar
  2. 2.
    Kennedy J. and Yorke J., (1991), Basins of Wada, Physica D 51, 213–255MathSciNetzbMATHCrossRefGoogle Scholar
  3. 3.
    S. Smale, (1965) Diffeomorphisms with many periodic points: in Differential and combinatorial topology, Cairns S. S.Ed., Princeton University Press, Princeton, 63–80Google Scholar
  4. 4.
    Yoneyama K., (1917) Theory of continuous set of points, Tohoku Math. J., 11, 12–43Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • John Hubbard
    • 1
  1. 1.Department of MathematicsCornell UniversityMalot Hall, IthacaUSA

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