The foundations of chaos revisited: from Poincaré to recent advancements
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 perspectiv…
Read More ↓Title Statements
- Full title :The foundations of chaos revisited : from Poincaré to recent advancements / Christos Skiadas, editor.
Summary
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.--Résumé de l'éditeur.
Read More ↓Edition Statements
- Publication Date:2016.
Publication Statements
- Publisher(s):Springer
- Place of Publication:Switzerland
- Language:eng
- Publication Date:2016.
Notes
Titre de l'écran-titre (visionné le 16 août 2016).
The Physical Object
- Description:1 ressource en ligne (xiv, 261 pages) : : illustrations en partie en couleur, fichiers PDF
Edition Identifiers
- ISBN:9783319297019, 3319297015
- DOI:10.1007/978-3-319-29701-9
- oclc:on1132119659
- LC Classification:Q172.5.C45
- Dewey Decimal:003/.857
Table of Contents
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.
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