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Understanding Complex Systems

The Foundations of Chaos Revisited: From Poincaré to Recent Advancements

Editors: Skiadas, Christos (Ed.)

  • 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
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eBook 79,72 €
price for Spain (gross)
  • ISBN 978-3-319-29701-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 100,87 €
price for Spain (gross)
  • ISBN 978-3-319-29699-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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.

About the authors

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).

Table of contents (15 chapters)

  • Henri Poincaré’s Inventions in Dynamical Systems and Topology

    Verhulst, Ferdinand

    Pages 1-25

    Preview Buy Chapter 30,19 €
  • From Nonlinear Oscillations to Chaos Theory

    Ginoux, Jean-Marc

    Pages 27-47

    Preview Buy Chapter 30,19 €
  • Hydrodynamic Turbulence as a Nonstandard Transport Phenomenon

    Ruelle, David

    Pages 49-57

    Preview Buy Chapter 30,19 €
  • Non-equilibrium Statistical Mechanics of Turbulence

    Gallavotti, Giovanni (et al.)

    Pages 59-70

    Preview Buy Chapter 30,19 €
  • The Kolmogorov Law of Turbulence What Can Rigorously Be Proved? Part II

    Lewandowski, Roger (et al.)

    Pages 71-89

    Preview Buy Chapter 30,19 €

Buy this book

eBook 79,72 €
price for Spain (gross)
  • ISBN 978-3-319-29701-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 100,87 €
price for Spain (gross)
  • ISBN 978-3-319-29699-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
The Foundations of Chaos Revisited: From Poincaré to Recent Advancements
Editors
  • Christos Skiadas
Series Title
Understanding Complex Systems
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-29701-9
DOI
10.1007/978-3-319-29701-9
Hardcover ISBN
978-3-319-29699-9
Series ISSN
1860-0832
Edition Number
1
Number of Pages
XIV, 261
Number of Illustrations and Tables
39 b/w illustrations, 54 illustrations in colour
Topics