The Foundations of Chaos Revisited: From Poincaré to Recent Advancements (eBook, PDF)

Redaktion: Skiadas, Christos

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 261
• Erscheinungstermin: 29. April 2016
• Englisch
• ISBN-13: 9783319297019
• Artikelnr.: 46924958

Autorenporträt

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).

Inhaltsangabe

Preface.- HenriPoincaré's inventions in dynamical systems and topology.- From nonlinearoscillations to chaos theory.- Hydrodynamic turbulence as a nonstandardtransport phenomenon.- Non-equilibrium statistical mechanics of turbulence: commentson Ruelle's intermittency theory.- The Kolmogorov law of turbulence - what can rigorously be proved?.- History ofchaos from a French perspective.- Measuring quasiperiodicity.- Heat transfer ina complex medium.- Plasma hysteresis and instability: a memory perspective.- Stochasticanti-resonance in polarization phenomena.- A simple plankton model with complexbehavior.- Fractal Radar: Towards 1980 - 2015.- Simulation of multidimensionalnonlinear dynamics by one-dimensional maps with many parameters.- Suddencardiac death and turbulence.- Absolute negative mobility in a ratchet flow.