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Fractals

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Chaos for Engineers

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Abstract

Fractals, objects with noninteger dimension, may at first sight seem to be unlikely candidates for any practical applications. In this chapter we introduce basic examples and properties of fractal sets starting with a classical example of the Cantor set and introduce different definitions of its dimension. Later we discuss the application of the fractal concept to dynamics and show that it is very useful in the description of strange chaotic attractors.

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Authors and Affiliations

  1. Division of Dynamics, Technical University of Lodz, Stefanowskiego 1/15, 90-924, Lodz, Poland

    Professor Tomasz Kapitaniak

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  1. Professor Tomasz Kapitaniak
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© 2000 Springer-Verlag Berlin Heidelberg

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Kapitaniak, T. (2000). Fractals. In: Chaos for Engineers. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57143-5_4

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  • DOI: https://doi.org/10.1007/978-3-642-57143-5_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66574-8

  • Online ISBN: 978-3-642-57143-5

  • eBook Packages: Springer Book Archive

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