A first course in chaotic dynamical systems : theory and experiment / Robert L. Devaney.

By: Devaney, Robert L, 1948-.

Material type: materialTypeLabel

BookSeries: Studies in nonlinearity.Publisher: Reading, Mass. : Addison-Wesley, 1992Description: xi, 302 p. : ill. (some col.) ; 24 cm. + hbk.ISBN: 0201554062; 9780201554069.Subject(s): Differentiable dynamical systems

| Chaotic behavior in systems

DDC classification: 515.352

Contents:

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 -- Sarkovskii's theorem -- The role of the critical orbit -- Newton's method -- Fractals -- Complex functions -- The Julia set -- The Mandelbrot set -- Further projects and experiments.

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Item type	Current library	Call number	Copy number	Status	Date due	Barcode	Item holds
General Lending	MTU Bishopstown Library Lending	515.352 (Browse shelf(Opens below))	1	Available		00188221

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Enhanced descriptions from Syndetics:

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, Newton's 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. Chaotic Dynamical Systems Software, Labs 1-6 is a supplementary laboratory software package, available separately, that allows a more intuitive understanding of the mathematics behind dynamical systems theory. Combined with A First Course in Chaotic Dynamical Systems , it leads to a rich understanding of this emerging field.

Includes bibliographical references (pages 295-298) and index.

Author notes provided by Syndetics

Professor Robert L. Devaney received his A.B. from Holy Cross College and his Ph.D. from the University of California at Berkeley in 1973. He taught at Northwestern University, Tufts University, and the University of Maryland before coming to Boston University in 1980. He served there as chairman of the Department of Mathematics from 1983 to 1986. His main area of research is dynamical systems, including Hamiltonian systems, complex analytic dynamics, and computer experiments in dynamics. He is the author of An Introduction to Chaotic Dynamical Systems , and Chaos, Fractals, and Dynamics: Computer Experiments in Modern Mathematics , which aims to explain the beauty of chaotic dynamics to high school students and teachers.