The Foundations of Chaos Revisited: From Poincaré to Recent Advancements
Springer International Publishing (Verlag)
978-3-319-80629-7 (ISBN)
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.
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).
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.
| Erscheinungsdatum | 05.03.2022 |
|---|---|
| Reihe/Serie | Understanding Complex Systems |
| Zusatzinfo | XIV, 261 p. 93 illus., 54 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 4219 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik | |
| Schlagworte | CHAOS 2015 • Chaos in higher dimensions • Henri Poincaré legacy • Historical aspects of chaos theory • History of dynamical systems • Hydrodynamic turbulence • Kolmogorov Law of Turbulence |
| ISBN-10 | 3-319-80629-7 / 3319806297 |
| ISBN-13 | 978-3-319-80629-7 / 9783319806297 |
| Zustand | Neuware |
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