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Original Essays | September 18, 2014

Lin Enger: IMG Knowing vs. Knowing

On a hot July evening years ago, my Toyota Tercel overheated on a flat stretch of highway north of Cedar Rapids, Iowa. A steam geyser shot up from... Continue »
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    The High Divide

    Lin Enger 9781616203757


Chaos in discrete dynamical systems :a visual introduction in 2 dimensions


Chaos in discrete dynamical systems :a visual introduction in 2 dimensions Cover


Synopses & Reviews

Publisher Comments:

Chaos Theory is a synonym for dynamical systems theory, a branch of mathematics. Dynamical systems come in three flavors: flows (continuous dynamical systems), cascades (discrete, reversible, dynamical systems), and semi-cascades (discrete, irreversible, dynamical systems). Flows and semi-cascades are the classical systems iuntroduced by Poincare a centry ago, and are the subject of the extensively illustrated book: Dynamics: The Geometry of Behavior, Addison-Wesley 1992 authored by Ralph Abraham and Shaw. Semi- cascades, also know as iterated function systems, are a recent innovation, and have been well-studied only in one dimension (the simplest case) since about 1950. The two-dimensional case is the current frontier of research. And from the computer graphcis of the leading researcher come astonishing views of the new landscape, such as the Julia and Mandelbrot sets in the beautiful books by Heinz-Otto Peigen and his co-workers. Now, the new theory of critical curves developed by Mira and his students and Toulouse provide a unique opportunity to explain the basic concepts of the theory of chaos and bifurcations for discete dynamical systems in two-dimensions. The materials in the book and on the accompanying disc are not solely developed only with the researcher and professional in mind, but also with consideration for the student. The book is replete with some 100 computer graphics to illustrate the material, and the CD-ROM contains full-color animations that are tied directly into the subject matter of the book, itself. In addition, much of this material has also been class-tested by the authors. The cross-platform CD also contains a software program called ENDO, which enables users to create their own 2-D imagery with X-Windows. Maple scripts are provided which give the reader the option of working directly with the code from which the graphcs in the book were


System requirements for accompanying computer disc: IBM-compatible computer running DOS or Windows; UNIX platform; Macintosh computers using file exchange utility. Includes bibliographical references (p. 235-243) and index.

Product Details

Abraham, Ralph
Mira, C.
Gardini, L.
Santa Clara, Calif. :
Desktop Publishing - General
Chaotic Behavior in Systems
Desktop publishing
Differentiable dynamical systems
Life Sciences - Evolution
Digital Media - Desktop Publishing
Series Volume:
Publication Date:
9.50x7.25x.86 in. 1.40 lbs.

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Computers and Internet » Desktop Publishing » General
Reference » Science Reference » Technology
Science and Mathematics » Biology » Evolution
Science and Mathematics » Mathematics » Calculus » General
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Science and Mathematics » Mathematics » Popular Chaos and Fractals

Chaos in discrete dynamical systems :a visual introduction in 2 dimensions New Hardcover
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Product details 246 pages Springer/TELOS,c1997. - English 9780387943008 Reviews:
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