Fractal Patterns in Nonlinear Dynamics and Applications

Fractal Patterns in Nonlinear Dynamics and Applications

Tekijä: Santo Banerjee, M K Hassan, Sayan Mukherjee, A Gowrisankar
Kustantaja: CRC Press
Painos: 1
Julkaisuvuosi: 2020
ISBN: 9781032083513

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Maksa Klarnalla
14 päivän palautusoikeus

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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