The foundations of chaos revisited[e...
Skiadas, Christos.

 

  • The foundations of chaos revisited[electronic resource] :from Poincaré to recent advancements /
  • 紀錄類型: 書目-語言資料,印刷品 : Monograph/item
    杜威分類號: 003.857
    書名/作者: The foundations of chaos revisited : from Poincaré to recent advancements // edited by Christos Skiadas.
    其他作者: Skiadas, Christos.
    出版者: Cham : : Springer International Publishing :, 2016.
    面頁冊數: xiv, 261 p. : : ill. (some col.), digital ;; 24 cm.
    Contained By: Springer eBooks
    標題: Chaotic behavior in systems.
    標題: Poincare conjecture.
    標題: Nonlinear mechanics.
    標題: Physics.
    標題: Nonlinear Dynamics.
    標題: Vibration, Dynamical Systems, Control.
    標題: Complex Systems.
    標題: History and Philosophical Foundations of Physics.
    ISBN: 9783319297019
    ISBN: 9783319296999
    內容註: 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.
    摘要、提要註: 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.
    電子資源: http://dx.doi.org/10.1007/978-3-319-29701-9
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