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Order and Chaos: Period-Doubling and its Chaotic Mirror

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Fractals for the Classroom


Chaos theory began at the end of last century with some great initial ideas, concepts and results of the monumental French mathematician Henri Poincaré. Also the more recent path of the theory has many fascinating success stories. Probably the most beautiful and important one is the theme of this chapter. It is known as the route from order into chaos, or Feigenbaum’s universality.

… there is a God precisely because Nature itself, even in chaos, cannot proceed except in an orderly and regular manner.

Immanuel Kant

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© 1992 Springer-Verlag New York, Inc.

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Peitgen, HO., Jürgens, H., Saupe, D. (1992). Order and Chaos: Period-Doubling and its Chaotic Mirror. In: Fractals for the Classroom. Springer, New York, NY.

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8758-2

  • Online ISBN: 978-1-4612-4406-6

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