Exploring Chaos PDF
By:Brian Davies
Published on 2018-05-04 by CRC Press
This book presents elements of the theory of chaos in dynamical systems in a framework of theoretical understanding coupled with numerical and graphical experimentation. The theory is developed using only elementary calculus and algebra, and includes dynamics of one-and two-dimensional maps, periodic orbits, stability and its quantification, chaotic behavior, and bifurcation theory of one-dimensional systems. There is an introduction to the theory of fractals, with an emphasis on the importance of scaling, and a concluding chapter on ordinary differential equations. The accompanying software, written in Java, is available online (see link below). The program enables students to carry out their own quantitative experiments on a variety of nonlinear systems, including the analysis of fixed points of compositions of maps, calculation of Fourier spectra and Lyapunov exponents, and box counting for two-dimensional maps. It also provides for visualizing orbits, final state and bifurcation diagrams, Fourier spectra and Lyapunov exponents, basins of attractions, three-dimensional orbits, Poincarections, and return maps. Please visit http://www.maths.anu.edu.au/~briand/chaos/ for the integrated cross-platform software.
This Book was ranked at 13 by Google Books for keyword Chaos Theory.
Book ID of Exploring Chaos's Books is _kpnDwAAQBAJ, Book which was written byBrian Davieshave ETAG "G5uw65VmbIQ"
Book which was published by CRC Press since 2018-05-04 have ISBNs, ISBN 13 Code is 9780429982491 and ISBN 10 Code is 0429982496
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Book which have "256 Pages" is Printed at BOOK under CategoryMathematics
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