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The Foundations of Chaos Revisited: From Poincaré to Recent Advancements de Christos Skiadas

The Foundations of Chaos Revisited: From Poincaré to Recent Advancements: Understanding Complex Systems

Editat de Christos Skiadas
en Limba Engleză Hardback – 10 mai 2016
With contributions from a number of pioneeringresearchers in the field, this collection is aimed not only at researchers andscientists in nonlinear dynamics but also at a broader audience interested inunderstanding and exploring how modern chaos theory has developed since thedays of Poincaré.
 
This book was motivated by and isan outcome of the CHAOS 2015 meeting held at the Henri Poincaré Institute inParis, which provided a perfect opportunity to gain inspiration and discuss newperspectives on the history, development and modern aspects of chaos theory.
 
HenriPoincaré is remembered as a great mind in mathematics, physics and astronomy.His works, well beyond their rigorous mathematical and analytical style, areknown for their deep insights into science and research in general, and thephilosophy of science in particular. The Poincaré conjecture (only proved in2006) along with his work on the three-body problem are considered to be thefoundation of modern chaos theory.

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Specificații

ISBN-13: 9783319296999
ISBN-10: 331929699X
Pagini: 250
Ilustrații: XIV, 261 p. 93 illus., 54 illus. in color.
Dimensiuni: 155 x 235 x 18 mm
Greutate: 0.56 kg
Ediția:1st ed. 2016
Editura: Springer International Publishing
Colecția Springer
Seria Understanding Complex Systems

Locul publicării:Cham, Switzerland

Cuprins

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.

Notă biografică

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).

Textul de pe ultima copertă

With contributions from a number of pioneeringresearchers in the field, this collection is aimed not only at researchers andscientists in nonlinear dynamics but also at a broader audience interested inunderstanding and exploring how modern chaos theory has developed since thedays of Poincaré.
 
This book was motivated by and isan outcome of the CHAOS 2015 meeting held at the Henri Poincaré Institute inParis, which provided a perfect opportunity to gain inspiration and discuss newperspectives on the history, development and modern aspects of chaos theory.
 
HenriPoincaré is remembered as a great mind in mathematics, physics and astronomy.His works, well beyond their rigorous mathematical and analytical style, areknown for their deep insights into science and research in general, and thephilosophy of science in particular. The Poincaré conjecture (only proved in2006) along with his work on the three-body problem are considered to be thefoundation of modern chaos theory.

Caracteristici

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