The foundations of chaos revisited : from Poincaré to recent advancements
著者
書誌事項
The foundations of chaos revisited : from Poincaré to recent advancements
（Understanding complex systems / founding editor, J.A. Scott Kelso）（Springer complexity）
Springer, c2016
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注記
Includes bibliographical references
内容説明・目次
内容説明
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 Poincare.
This book was motivated by and is
an outcome of the CHAOS 2015 meeting held at the Henri Poincare 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
Poincare 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 Poincare conjecture (only proved in
2006) along with his work on the three-body problem are considered to be the
foundation of modern chaos theory.
目次
Preface.- Henri
Poincare'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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