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Fractal Patterns in Nonlinear Dynamics and Applications.
・ISBN 978-1-032-08351-3 paper GB£ 55.99
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| 著者・編者 | Banerjee, Santo / Hassan, M K / Mukherjee, Sayan / Gowrisankar, A, |
|---|---|
| 出版社 | (CRC Press, UK) |
| 出版年月 | 2021 |
| ページ数 | 206 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-14925 M25-9574> |
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.