The Foundations of Chaos Revisited: From Poincaré to Recent Advancements

  • Christos Skiadas

Part of the Understanding Complex Systems book series (UCS)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Jean-Marc Ginoux
    Pages 27-47
  3. Giovanni Gallavotti, Pedro Garrido
    Pages 59-70
  4. Roger Lewandowski, Benoît Pinier
    Pages 71-89
  5. Pierre Coullet, Yves Pomeau
    Pages 91-101
  6. Suddhasattwa Das, Yoshitaka Saiki, Evelyn Sander, James A. Yorke
    Pages 103-118
  7. A. G. Ramm
    Pages 119-136
  8. V. J. Law, W. G. Graham, D. P. Dowling
    Pages 137-157
  9. Vladimir L. Kalashnikov, Sergey V. Sergeyev
    Pages 159-179
  10. Irene M. Moroz, Roger Cropp, John Norbury
    Pages 181-194
  11. Guillaume Attuel, Oriol Pont, Binbin Xu, Hussein Yahia
    Pages 235-248
  12. 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.


CHAOS 2015 Chaos in higher dimensions Henri Poincaré legacy Historical aspects of chaos theory History of dynamical systems Hydrodynamic turbulence Kolmogorov Law of Turbulence

Editors and affiliations

  • Christos Skiadas
    • 1
  1. 1.ManLab Technical University of CreteChaniaGreece

Bibliographic information