Fractals Patterns in Nonlinear Dynamics and Applications
Fractals Patterns in Nonlinear Dynamics and Applications
by Santo Banerjee, M. K. Hassan
English | 2020 | ISBN: 1498741355 | 207 Pages | PDF | 20.6 MB
by Santo Banerjee, M. K. Hassan
English | 2020 | ISBN: 1498741355 | 207 Pages | PDF | 20.6 MB
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.