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  • © 2016

The Foundations of Chaos Revisited: From Poincaré to Recent Advancements

  • Unique collection of contributions by many pioneering researchers in the field
  • Discusses new insights into both historical and contemporary developments of chaos theory
  • Inspired by the CHAOS 2015 meeting held at the Institut Henri Poincaré
  • Includes supplementary material: sn.pub/extras

Part of the book series: Understanding Complex Systems (UCS)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xiv
  2. From Nonlinear Oscillations to Chaos Theory

    • Jean-Marc Ginoux
    Pages 27-47
  3. Non-equilibrium Statistical Mechanics of Turbulence

    • Giovanni Gallavotti, Pedro Garrido
    Pages 59-70
  4. The Kolmogorov Law of Turbulence What Can Rigorously Be Proved? Part II

    • Roger Lewandowski, Benoît Pinier
    Pages 71-89
  5. History of Chaos from a French Perspective

    • Pierre Coullet, Yves Pomeau
    Pages 91-101
  6. Quasiperiodicity: Rotation Numbers

    • Suddhasattwa Das, Yoshitaka Saiki, Evelyn Sander, James A. Yorke
    Pages 103-118
  7. Heat Transfer in a Complex Medium

    • A. G. Ramm
    Pages 119-136
  8. Plasma Hysteresis and Instability: A Memory Perspective

    • V. J. Law, W. G. Graham, D. P. Dowling
    Pages 137-157
  9. Stochastic Anti-Resonance in Polarization Phenomena

    • Vladimir L. Kalashnikov, Sergey V. Sergeyev
    Pages 159-179
  10. A Simple Plankton Model with Complex Behaviour

    • Irene M. Moroz, Roger Cropp, John Norbury
    Pages 181-194
  11. Sudden Cardiac Death and Turbulence

    • Guillaume Attuel, Oriol Pont, Binbin Xu, Hussein Yahia
    Pages 235-248
  12. Absolute Negative Mobility in a Ratchet Flow

    • Philippe Beltrame
    Pages 249-261

About this book

With contributions from a number of pioneering researchers in the field, this collection is aimed not only at researchers and scientists in nonlinear dynamics but also at a broader audience interested in understanding and exploring how modern chaos theory has developed since the days of Poincaré.

 

This book was motivated by and is an outcome of the CHAOS 2015 meeting held at the Henri Poincaré Institute in Paris, which provided a perfect opportunity to gain inspiration and discuss new perspectives on the history, development and modern aspects of chaos theory.

 

Henri Poincaré is remembered as a great mind in mathematics, physics and astronomy. His works, well beyond their rigorous mathematical and analytical style, are known for their deep insights into science and research in general, and the philosophy of science in particular. The Poincaré conjecture (only proved in 2006) along with his work on the three-body problem are considered to be the foundation of modern chaos theory.

Editors and Affiliations

  • ManLab Technical University of Crete, Chania, Greece

    Christos Skiadas

About the editor

Christos Skiadas is the Founder and Director of the Data Analysis and Forecasting Laboratory in the Technical University of Crete. A former vice-Rector of the Technical University of Crete and Chairman of the Department of Production Engineering and Management, he also served as a consultant in various firms. His main scientific and research interests is innovation diffusion modelling and forecasting, life table data modelling and healthy life expectancy estimates, including applications in finance and insurance. He conducts also research in deterministic, stochastic and chaotic modeling. Among the many books he has authored and edited is the article collection Advances in Data Analysis (Springer Birkhäuser Basel 2010).

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access