Chaos and Fractals: An Elementary Introduction [ electronic resource ] / by David P. Feldman.
By: Feldman, David P.
Material type:
TextPublisher: Oxford Scholarship Online , 2013ISBN: 9780199566433 ( e-book ).Subject(s): physicsGenre/Form: Electronic booksOnline resources: https://doi.org/10.1093/acprof:oso/9780199566433.001.0001 View to click Summary: This book provides an elementary introduction to chaos and fractals. It introduces the key phenomena of chaos — aperiodicity, sensitive dependence on initial conditions, bifurcations — via simple iterated functions. Fractals are introduced as self-similar geometric objects and analysed with the self-similarity and box-counting dimensions. After a brief discussion of power laws, subsequent chapters explore Julia sets and the Mandelbrot set. The last part of the book examines two-dimensional dynamical systems, strange attractors, cellular automata, and chaotic differential equations
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This book provides an elementary introduction to chaos and fractals. It introduces the key phenomena of chaos — aperiodicity, sensitive dependence on initial conditions, bifurcations — via simple iterated functions. Fractals are introduced as self-similar geometric objects and analysed with the self-similarity and box-counting dimensions. After a brief discussion of power laws, subsequent chapters explore Julia sets and the Mandelbrot set. The last part of the book examines two-dimensional dynamical systems, strange attractors, cellular automata, and chaotic differential equations
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