TY - BOOK AU - Banerjee,Santo AU - Hassan,M.K. AU - Mukherjee,Sayan AU - Gowrisankar,A. TI - Fractal patterns in nonlinear dynamics and applications SN - 9781351647625 AV - QA614.86 .B35 2020eb U1 - 514.742 23 PY - 2020///] CY - Boca Raton, FL PB - CRC Press KW - Fractals KW - MATHEMATICS / Applied KW - bisacsh KW - MATHEMATICS / Differential Equations KW - MATHEMATICS / Geometry / General N2 - 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 UR - https://www.taylorfrancis.com/books/9781315151564 UR - http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf ER -