Banerjee, Santo, 1976-
Fractal patterns in nonlinear dynamics and applications / Santo Banerjee, MK Hassan, Sayan Mukherjee, A Gowrisankar. - 1 online resource : illustrations (colour).
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.
9781351647625 1351647628 9781498741361 1498741363 9781315151564 1315151561 9781351638098 1351638092
10.1201/9781315151564 doi
Fractals.
MATHEMATICS / Applied
MATHEMATICS / Differential Equations
MATHEMATICS / Geometry / General
QA614.86 / .B35 2020eb
514.742
Fractal patterns in nonlinear dynamics and applications / Santo Banerjee, MK Hassan, Sayan Mukherjee, A Gowrisankar. - 1 online resource : illustrations (colour).
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.
9781351647625 1351647628 9781498741361 1498741363 9781315151564 1315151561 9781351638098 1351638092
10.1201/9781315151564 doi
Fractals.
MATHEMATICS / Applied
MATHEMATICS / Differential Equations
MATHEMATICS / Geometry / General
QA614.86 / .B35 2020eb
514.742