Fractal Patterns In Nonlinear Dynamics And Applications
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Fractal Patterns in Nonlinear Dynamics and Applications
Author | : Santo Banerjee |
Publisher | : CRC Press |
Total Pages | : 142 |
Release | : 2020-03-27 |
Genre | : Mathematics |
ISBN | : 1351647628 |
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Most books on fractals focus on deterministic fractals as the impact of incorporating randomness and time is almost absent. Further, most review fractals without explaining what scaling and self-similarity means. This book introduces the idea of scaling, self-similarity, scale-invariance and their role in the dimensional analysis. For the first time, fractals emphasizing mostly on stochastic fractal, and multifractals which evolves with time instead of scale-free self-similarity, are discussed. Moreover, it looks at power laws and dynamic scaling laws in some detail and provides an overview of modern statistical tools for calculating fractal dimension and multifractal spectrum.
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