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High-Dimensional Chaotic and Attractor Systems

A Comprehensive Introduction

  • Vladimir G. Ivancevic
  • Tijana T. Ivancevic

Table of contents

  1. Front Matter
    Pages I-XV
  2. Vladimir G. Ivancevic, Tijana T. Ivancevic
    Pages 1-151
  3. Vladimir G. Ivancevic, Tijana T. Ivancevic
    Pages 153-222
  4. Vladimir G. Ivancevic, Tijana T. Ivancevic
    Pages 223-284
  5. Vladimir G. Ivancevic, Tijana T. Ivancevic
    Pages 285-418
  6. Vladimir G. Ivancevic, Tijana T. Ivancevic
    Pages 419-455
  7. Vladimir G. Ivancevic, Tijana T. Ivancevic
    Pages 457-489
  8. Vladimir G. Ivancevic, Tijana T. Ivancevic
    Pages 491-527
  9. Vladimir G. Ivancevic, Tijana T. Ivancevic
    Pages 529-616
  10. Vladimir G. Ivancevic, Tijana T. Ivancevic
    Pages 617-651
  11. Back Matter
    Pages 653-702

About this book

Introduction

If we try to describe real world in mathematical terms, we will see that real life is very often a high–dimensional chaos. Sometimes, by ‘pushing hard’, we manage to make order out of it; yet sometimes, we need simply to accept our life as it is. To be able to still live successfully, we need tounderstand, predict, and ultimately control this high–dimensional chaotic dynamics of life. This is the main theme of the present book. In our previous book, Geometrical - namics of Complex Systems, Vol. 31 in Springer book series Microprocessor– Based and Intelligent Systems Engineering, we developed the most powerful mathematical machinery to deal with high–dimensional nonlinear dynamics. In the present text, we consider the extreme cases of nonlinear dynamics, the high–dimensional chaotic and other attractor systems. Although they might look as examples of complete disorder – they still represent control systems, with their inputs, outputs, states, feedbacks, and stability. Today, we can see a number of nice books devoted to nonlinear dyn- ics and chaos theory (see our reference list). However, all these books are only undergraduate, introductory texts, that are concerned exclusively with oversimpli?ed low–dimensional chaos, thus providing only an inspiration for the readers to actually throw themselves into the real–life chaotic dynamics.

Keywords

Soliton Transformation algorithm algorithms chaos chaos theory classification deterministic chaos mechanics model modeling molecular dynamics nonlinear dynamics stability

Authors and affiliations

  • Vladimir G. Ivancevic
    • 1
  • Tijana T. Ivancevic
    • 2
  1. 1.Defence Science and Technology OrganisationAdelaideAustralia
  2. 2.The University of AdelaideAustralia

Bibliographic information

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