The Foundations of Chaos Revisited: From Poincaré to Recent Advancements

Softcover Nachdruck of the original 1. Auflage 2016
ISBN: 978-3-319-80629-7
Verlag: Springer International Publishing

Buch, Englisch, 261 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 4219 g

Reihe: Understanding Complex Systems

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.

Zielgruppe

Research

Autoren/Hrsg.

Skiadas, Christos

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Chaos-Theorie
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme

Inhaltsverzeichnis

Preface.- Henri
Poincaré’s inventions in dynamical systems and topology.- From nonlinear
oscillations to chaos theory.- Hydrodynamic turbulence as a nonstandard
transport phenomenon.- Non-equilibrium statistical mechanics of turbulence: comments
on Ruelle's intermittency theory.- The Kolmogorov law of turbulence - what can rigorously be proved?.- History of
chaos from a French perspective.- Measuring quasiperiodicity.- Heat transfer in
a complex medium.- Plasma hysteresis and instability: a memory perspective.- Stochastic
anti-resonance in polarization phenomena.- A simple plankton model with complex
behavior.- Fractal Radar: Towards 1980 – 2015.- Simulation of multidimensional
nonlinear dynamics by one-dimensional maps with many parameters.- Sudden
cardiac death and turbulence.- Absolute negative mobility in a ratchet flow.

Über Autor(innen)

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).