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- catalog abstract ""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. Here 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 software written in Java, enables students to carry out their own quantitative experiments on a variety of non-linear systems, including the analysis of fixed points and compositions of maps, visualizing orbits, final state and bifurcation diagrams, basins of attraction and box-counting for two-dimensional systems."--Jacket.".
- catalog contributor b11592921.
- catalog created "c1999.".
- catalog date "1999".
- catalog date "c1999.".
- catalog dateCopyrighted "c1999.".
- catalog description ""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. Here 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 software written in Java, enables students to carry out their own quantitative experiments on a variety of non-linear systems, including the analysis of fixed points and compositions of maps, visualizing orbits, final state and bifurcation diagrams, basins of attraction and box-counting for two-dimensional systems."--Jacket.".
- catalog description "Includes bibliographical references (p. 229-231) and index.".
- catalog description "Orbits of one-dimensional systems -- Bifurcations in one-dimensional systems -- Two-dimensional systems -- Fractals -- Non-linear oscillations.".
- catalog extent "xiii, 237 p. :".
- catalog identifier "0738200905".
- catalog isPartOf "Studies in nonlinearity".
- catalog issued "1999".
- catalog issued "c1999.".
- catalog language "eng".
- catalog publisher "Reading, Mass. : Perseus Books,".
- catalog subject "Chaotic behavior in systems.".
- catalog subject "Differentiable dynamical systems.".
- catalog subject "Q172.5.C45 D38 1999".
- catalog tableOfContents "Orbits of one-dimensional systems -- Bifurcations in one-dimensional systems -- Two-dimensional systems -- Fractals -- Non-linear oscillations.".
- catalog title "Exploring chaos : theory and experiment / Brian Davies.".
- catalog type "text".