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The Topology of Chaos Alice in Stretch and Squeezeland~tqw~_darksiderg

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Name:The Topology of Chaos Alice in Stretch and Squeezeland~tqw~_darksiderg

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INFO
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Title................: The Topology of Chaos: Alice in Stretch and Squeezeland
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 6.05 MB
Torrent Hash.........: A4E07998 08074EB6 2B6ED48E F671A9F5 3C170B4B
Posted by............: ~tqw~

Trackers:
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CONTENTS
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The Topology of Chaos Alice in Stretch and Squeezeland~tqw~_darksiderg preview 0
Synopsis:
The behavior of a physical system may appear irregular or chaotic even when
it is completely deterministic and predictable for short periods of time into
the future. How does one model the dynamics of a system operating in a chaotic
regime? Older tools such as estimates of the spectrum of Lyapunov exponents
and estimates of the spectrum of fractal dimensions do not sufficiently answer
this question. In a significant evolution of the field of Nonlinear Dynamics,
The Topology of Chaos responds to the fundamental challenge of chaotic systems
by introducing a new analysis method-Topological Analysis-which can be used to
extract, from chaotic data, the topological signatures that determine the
stretching and squeezing mechanisms which act on flows in phase space and
are responsible for generating chaotic data.

Table Of Contents:
Preface
1 Introduction 1
2 Discrete Dynamical Systems: Maps 17
3 Continuous Dynamical Systems: Flows 97
4 Topological Invariants 131
5 Branched Manifolds 165
6 Topological Analysis Program 217
7 Folding Mechanisms: A[subscript 2] 261
8 Tearing Mechanisms: A[subscript 3] 323
9 Unfoldings 343
10 Symmetry 367
11 Flows in Higher Dimensions 397
12 Program for Dynamical Systems Theory 421
App. A Determining Templates from Topological Invariants 441
References 469
Topic Index 483

Product Details:
* ISBN: 0471408166
* ISBN-13: 9780471408161
* Format: Hardcover, 520pp
* Publisher: Wiley, John & Sons, Incorporated
* Pub. Date: July 2002

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Greetz Fellow UL'ers
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A Very Special Shout Out To The DSRG Staff

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