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Fractals

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Book cover Chaos for Engineers

Abstract

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

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References

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Authors and Affiliations

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

    Professor Tomasz Kapitaniak

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  1. Professor Tomasz Kapitaniak
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© 1998 Springer-Verlag Berlin Heidelberg

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Kapitaniak, T. (1998). Fractals. In: Chaos for Engineers. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-97719-0_4

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  • DOI: https://doi.org/10.1007/978-3-642-97719-0_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63515-4

  • Online ISBN: 978-3-642-97719-0

  • eBook Packages: Springer Book Archive

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