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Viser: Fractal Patterns in Nonlinear Dynamics and Applications
Fractal Patterns in Nonlinear Dynamics and Applications Vital Source e-bog
Santo Banerjee og Sayan Mukherjee
(2020)
Fractal Patterns in Nonlinear Dynamics and Applications
Santo Banerjee, M. K. Hassan, Sayan Mukherjee og A. Gowrisankar
(2019)
Sprog: Engelsk
Detaljer om varen
- 1. Udgave
- Vital Source searchable e-book (Reflowable pages)
- Udgiver: CRC Press (Marts 2020)
- Forfattere: Santo Banerjee og Sayan Mukherjee
- ISBN: 9781351647625
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Detaljer om varen
- Hardback: 194 sider
- Udgiver: Taylor & Francis Group (December 2019)
- Forfattere: Santo Banerjee, M. K. Hassan, Sayan Mukherjee og A. Gowrisankar
- ISBN: 9781498741354
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.
Scaling, Scale-invariance and Self-similarity. Fractals. Stochastic Fractal. Multifractality. Fractal and Multifractal in Stochastic Time Series. Application in Image Processing. References.