Fractal Patterns in Nonlinear Dynamics and Applications

1st Edition

Santo Banerjee, M K Hassan, Sayan Mukherjee, A Gowrisankar

CRC Press
December 4, 2019 Forthcoming
Reference - 194 Pages - 16 Color & 40 B/W Illustrations
ISBN 9781498741354 - CAT# K26735

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Summary

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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