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Item Details
| Title:
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ITERATED MAPS ON THE INTERVAL AS DYNAMICAL SYSTEMS
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| By: |
Pierre Collet, Jean-Pierre Eckmann |
| Format: |
Paperback |
| List price:
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£59.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0817649263 |
| ISBN 13: |
9780817649265 |
| Publisher: |
BIRKHAUSER BOSTON INC |
| Pub. date: |
10 September, 2009 |
| Edition: |
Reprint of the 1st ed. 1980. |
| Series: |
Modern Birkhauser Classics |
| Pages: |
248 |
| Description: |
This work explains early results of the theory of continuous maps of an interval to itself to mathematicians and theoretical physicists, and aims to inspire further inquiry into these phenomena of beautiful regularity, which often appear near chaotic systems. |
| Synopsis: |
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 . |
| Illustrations: |
2 Tables, black and white; 67 Illustrations, black and white; XII, 248 p. |
| Publication: |
US |
| Imprint: |
Birkhauser Boston Inc |
| Returns: |
Returnable |
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