Fractal Patterns in Nonlinear Dynamics and Applications

ISBN-13: 9781498741354 / Angielski / Twarda / 2019 / 194 str.

Santo Banerjee; Sayan Mukherjee

Opis

The aim of this book is to describe the essence of fractals and multifractals dynamics in the applications of bioscience and engineering, bioinformatics, and financial time series. To reach these aims, the book covers the basic idea, history, structure, methodology and analysis of fractals, the relationship between fractals and nonlinear dynamics, the applications of fractal and multifractal analysis in biomedical science, and how fractal signals and images are modelled by Iterated Function system. Illustrations and practical applications are given throughout the text to provide clear interpretations and explanations of various complex fractal objects and fractal modelling.

Spis treści

Preface. Scaling, Scale-invariance and Self-similarity. Fractals. Stochastic Fractal. Multifractality. Fractal and Multifractal in Stochastic Time Series. Application in Image Processing. References.