A first course in chaotic dynamical systems : theory and experiment

Robert L. Devaney

A First Course in Chaotic Dynamical Systems: Theory and Experiment is the first book to introduce modern topics in dynamical systems at the undergraduate level. Accessible to readers with only a background in calculus, the book integrates both theory and computer experiments into its coverage of contemporary ideas in dynamics. It is designed as a gradual introduction to the basic mathematical ideas behind such topics as chaos, fractals, Newtons method, symbolic dynamics, the Julia set, and the Mandelbrot set, and includes biographies of some of the leading researchers in the field of dynamical systems. Mathematical and computer experiments are integrated throughout the text to help illustrate the meaning of the theorems presented.

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[目次]

  • * A Mathematical and Historical Tour * Examples of Dynamical Systems * Orbits * Graphical Analysis * Fixed and Periodic Points * Bifurcations * The Quadratic Family * Transition to Chaos * Symbolic Dynamics * Chaos * Sarkovskiis Theorem * The Role of the Critical Orbit * Newtons Method * Fractals * Complex Functions * The Julia Set * The Mandelbrot Set * Further Projects and Experiments

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この本の情報

書名 A first course in chaotic dynamical systems : theory and experiment
著作者等 Devaney, Robert L
シリーズ名 Studies in nonlinearity
出版元 Perseus Books
刊行年月 c1992
ページ数 xi, 302 p., [22] p. of plates
大きさ 25 cm
ISBN 9780201554069
NCID BA48253370
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言語 英語
出版国 アメリカ合衆国
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