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Fractal Patterns in Nonlinear Dynamics and Applications

Fractal Patterns in Nonlinear Dynamics and Applications

Hardcover

General MathematicsGeometry

ISBN10: 1498741355
ISBN13: 9781498741354
Publisher: Crc Pr Inc
Published: Dec 5 2019
Pages: 206
Weight: 1.15
Height: 0.60 Width: 6.30 Depth: 9.40
Language: English

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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General Mathematics