Dynamical Systems

  • Steven G. Krantz
  • Harold R. Parks


Many processes in life arise from the iteration of some simple rule or function. As an instance, the amount of money in your savings account is determined by the fact that the bank pays r percent interest per year.


Equilateral Triangle Butterfly Wing Pocket Calculator Butterfly Effect Percent Interest 
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.

References and Further Reading

  1. [BM 81]
    Brooks, R., Matelski, J.P.: The dynamics of 2-generator subgroups of P S L(2, ). In: Kra, I., Maskit, B. (eds.) Riemann Surfaces and Related Topics. Annals of Mathematics Studies, vol. 97, pp. 65–71. Princeton University Press, Princeton (1981)Google Scholar
  2. [Dev 81]
    Devaney, R.: Classical Mechanics and Dynamical Systems. CRC Press, Boca Raton (1981)Google Scholar
  3. [Dev 89]
    Devaney, R.: An Introduction to Chaotic Dynamical Systems, 2nd edn. Addison-Wesley, Redwood City (1989)Google Scholar
  4. [DH 96]
    Diacu, F., Holmes, P.: Celestial Encounters: The Origins of Chaos and Stability. Princeton University Press, Princeton (1996)Google Scholar
  5. [DH 84]
    Douady, A., Hubbard, J.H.: Étude dynamique des polynômes complexes. Prépublications mathématiques d’Orsay 2/4 (1984/1985)Google Scholar
  6. [Fal 90]
    Falconer, K.: Fractal Geometry: Mathematical Foundations and Applications. Wiley, New York (1990)Google Scholar
  7. [Fle 87]
    Fleick, J.: Chaos: Making a New Science. Viking, New York (1987)Google Scholar
  8. [Man 82]
    Mandelbrot, B.B.: The Fractal Geometry of Nature. W.H. Freeman, San Francisco (1982)Google Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Steven G. Krantz
    • 1
  • Harold R. Parks
    • 2
  1. 1.Department of MathematicsWashington University in St. LouisSt. LouisUSA
  2. 2.Department of MathematicsOregon State UniversityCorvalisUSA

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