Fractal Patterns in Nonlinear Dynamics and Applications

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

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Hardcover | 5 December 2019 | Edition Number 1

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Hardcover
208 Pages

Dimensions(cm)
23.4 x 15.6 x 1.5

Hardcover

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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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