Pierre Collet

(Author)

Iterated Maps on the Interval as Dynamical SystemsPaperback, 10 September 2009

Iterated Maps on the Interval as Dynamical Systems
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Part of Series
Modern Birkhäuser Classics
Part of Series
Modern Birkhauser Classics
Print Length
248 pages
Language
English
Publisher
Birkhauser
Date Published
10 Sep 2009
ISBN-10
0817649263
ISBN-13
9780817649265

Description

Iterations of continuous maps of an interval to itself serve as the simplest examples of models for dynamical systems. These models present an interesting mathematical structure going far beyond the simple equilibrium solutions one might expect. If, in addition, the dynamical system depends on an experimentally controllable parameter, there is a corresponding mathematical structure revealing a great deal about interrelations between the behavior for different parameter values.

This work explains some of the early results of this theory to mathematicians and theoretical physicists, with the additional hope of stimulating experimentalists to look for more of these general phenomena of beautiful regularity, which oftentimes seem to appear near the much less understood chaotic systems. Although continuous maps of an interval to itself seem to have been first introduced to model biological systems, they can be found as models in most natural sciences as well as economics.

Iterated Maps on the Interval as Dynamical Systems is a classic reference used widely by researchers and graduate students in mathematics and physics, opening up some new perspectives on the study of dynamical systems .

Product Details

Authors:
Pierre ColletJ -P Eckmann
Book Format:
Paperback
Country of Origin:
NL
Date Published:
10 September 2009
Dimensions:
23.39 x 15.6 x 1.4 cm
ISBN-10:
0817649263
ISBN-13:
9780817649265
Language:
English
Location:
Boston, MA
Pages:
248
Publisher:
Weight:
371.95 gm

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