[Download] "Fractal Patterns in Nonlinear Dynamics and Applications" by Santo Banerjee, M K Hassan, Sayan Mukherjee & A Gowrisankar " Book PDF Kindle ePub Free

May 10, 2021

eBook details

Title: Fractal Patterns in Nonlinear Dynamics and Applications
Author : Santo Banerjee, M K Hassan, Sayan Mukherjee & A Gowrisankar
Release Date : January 27, 2020
Genre: Mathematics,Books,Science & Nature,Life Sciences,
Pages : * pages
Size : 8270 KB

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.