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Fractal Patterns in Nonlinear Dynamics and Applications.

Fractal Patterns in Nonlinear Dynamics and Applications.

・ISBN 978-1-4987-4135-4 hard GB£ 171.99

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-1-315-15156-4

著者・編者Banerjee, Santo / Hassan, M K / Mukherjee, Sayan / Gowrisankar, A,
出版社(CRC Press Inc, US)
出版年月2019
ページ数206 pp.
言語ENG
ニュース番号<M25-9268>

解説

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.