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The foundations of chaos revisited =...
~
SpringerLink (Online service)
The foundations of chaos revisited = from Poincaré to recent advancements /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
The foundations of chaos revisited/ edited by Christos Skiadas.
Reminder of title:
from Poincaré to recent advancements /
other author:
Skiadas, Christos.
Published:
Cham :Springer International Publishing : : 2016.,
Description:
xiv, 261 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:
Springer eBooks
Subject:
Chaotic behavior in systems. -
Online resource:
http://dx.doi.org/10.1007/978-3-319-29701-9
ISBN:
9783319297019
The foundations of chaos revisited = from Poincaré to recent advancements /
The foundations of chaos revisited
from Poincaré to recent advancements /[electronic resource] :edited by Christos Skiadas. - Cham :Springer International Publishing :2016. - xiv, 261 p. :ill. (some col.), digital ;24 cm. - Understanding complex systems,1860-0832. - Understanding complex systems..
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.
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.
ISBN: 9783319297019
Standard No.: 10.1007/978-3-319-29701-9doiSubjects--Topical Terms:
561796
Chaotic behavior in systems.
LC Class. No.: Q172.5.C45
Dewey Class. No.: 003.857
The foundations of chaos revisited = from Poincaré to recent advancements /
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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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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.
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