Fractal Patterns in Nonlinear Dynamics and Applications

by Santo Banerjee (Author), A Gowrisankar (Author), M K Hassan (Author), Sayan Mukherjee (Author)

• New

  Illustrated
  2018

  $148.39

  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.