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Fractals and Multifractals

  • Stephen Lynch
Chapter

Aims and Objectives

• To provide a brief introduction to fractals.

• To introduce the notion of fractal dimension.

• To provide a brief introduction to multifractals and define a multifractal formalism.

• To consider some very simple examples.

On completion of this chapter, the reader should be able to

• plot early-stage generations of certain fractals using either graph paper, pencil, and rule, or the Maple package;

• determine the fractal dimension of some mathematical fractals;

• estimate the fractal dimension using simple box-counting techniques;

• distinguish between homogeneous and heterogeneous fractals;

• appreciate how multifractal theory is being applied in the real world;

• construct multifractal Cantor sets and Koch curves and plot graphs of their respective multifractal spectra.

Keywords

Chaotic Attractor Iterate Function System Multifractal Analysis Multifractal Spectrum Graph Paper 
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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Copyright information

© Birkhäuser Boston 2010

Authors and Affiliations

  1. 1.Department of Computing and MathematicsManchester Metropolitan UniversityManchesterUK

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