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The Foundations of Chaos Revisited: From Poincaré to Recent Advancements
Paperback
Series: Understanding Complex Systems
Technology & EngineeringGeneral MathematicsGeneral Science
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ISBN13: 9783319806297
Publisher: Springer
Published: May 27 2018
Pages: 261
Weight: 0.86
Height: 0.58 Width: 6.10 Depth: 9.25
Language: English
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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