Home | Amazing | Today | Tags | Publishers | Years | Account | Search 
The Topology of Chaos: Alice in Stretch and Squeezeland (German Edition)

Buy
The subject of this book is chaos as seen through the filter of topology. The origin of this book lies in the analysis of data generated by a dynamical system operating in a chaotic regime. Throughout this book we develop topological tools for analyzing chaotic data and then show how they are applied to experimental data sets.

More specifically, we describe how to extract, from chaotic data, topological signatures that determine the stretching and squeezing mechanisms that act on flows in phase space and that are responsible for generating chaotic data.

In the first section of this introductory chapter we very briefly review some of the basic ideas from the field of nonlinear dynamics and chaos. This is done to make the work as self-contained as possible. More in-depth treatment of these ideas can be found in the references provided.

In the second section we describe, for purposes of motivation, a laser that has been operated under conditions in which it behaved chaotically. The topological methods of analysis that we describe in this book were developed in response to the challenge of analyzing chaotic data sets generated by this laser.

In the third section we list a number of questions we would like to be able to answer when analyzing a chaotic signal. None of these questions can be addressed by the older tools for analyzing chaotic data. The older methods involve estimates of the spectrum of Lyapunov exponents and estimates of the spectrum of fractal dimensions. The question that we would particularly like to be able to answer is this:

How does one model the dynamics? To answer this question we must determine the stretching and squeezing mechanisms that operate together – repeatedly – to generate chaotic data. The stretching mechanism is responsible for sensitivity to initial conditions while the squeezing mechanism is responsible for recurrent nonperiodic behavior. These two mechanisms operate repeatedly to generate a strange attractor with a self-similar structure.
(HTML tags aren't allowed.)

Learning Swift: Building Apps for macOS, iOS, and Beyond
Learning Swift: Building Apps for macOS, iOS, and Beyond

Get valuable hands-on experience with Swift, the open source programming language developed by Apple. With this practical guide, skilled programmers with little or no knowledge of Apple development will learn how to code with the latest version of Swift by developing a working iOS app from start to finish.

You’ll...

Programming in Go: Creating Applications for the 21st Century (Developer's Library)
Programming in Go: Creating Applications for the 21st Century (Developer's Library)

Your Hands-On Guide to Go, the Revolutionary New Language Designed for Concurrency, Multicore Hardware, and Programmer Convenience

 

Today’s most exciting new programming language, Go, is designed from the ground up to help you easily leverage...

Mastering Hadoop
Mastering Hadoop

Go beyond the basics and master the next generation of Hadoop data processing platforms

About This Book

  • Learn how to optimize Hadoop MapReduce, Pig and Hive
  • Dive into YARN and learn how it can integrate Storm with Hadoop
  • Understand how Hadoop can be deployed on the cloud...

The Perl, Version 4.0 / Perl in a Nutshell, 2nd Edition
The Perl, Version 4.0 / Perl in a Nutshell, 2nd Edition
Version 4.0 of O'Reilly's ""The Perl CD Bookshelf gives programmers convenient online access to their favorite Perl books, all from their CD-ROM drive. We've updated this best-selling product with electronic versions of six popular books. Included are the second editions of ""Perl in a Nutshell, and...
IBM Cognos Business Intelligence
IBM Cognos Business Intelligence

Discover the practical approach to BI with IBM Cognos Business Intelligence

  • Learn how to better administer your IBM Cognos 10 environment in order to improve productivity and efficiency.
  • Empower your business with the latest Business Intelligence (BI) tools.
  • Discover advanced tools and...
Writing Apache Modules with Perl and C
Writing Apache Modules with Perl and C
This book was designed for application developers who already have some experience with web programming. We assume that you understand CGI scripting, know how to produce HTML pages dynamically, and can create fill-out forms and process their contents. We also assume that you know the basics of web server administration—if not with the Apache...
©2019 LearnIT (support@pdfchm.net) - Privacy Policy