Fractal Patterns in Nonlinear Dynamics and Applications

Released on by Santo Banerjee
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  • Fractal Patterns in Nonlinear Dynamics and Applications Book Detail

  • Author : Santo Banerjee
  • Release Date : 2020-03-27
  • Publisher : CRC Press
  • Genre : Mathematics
  • Pages : 142
  • ISBN 13 : 1351647628
  • File Size : 84,84 MB
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Fractal Patterns in Nonlinear Dynamics and Applications by Santo Banerjee PDF Summary

Book Description: 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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