The Foundations of Chaos Revisited: From Poincaré to Recent Advancements

• Corporate Author: SpringerLink (Online service)
• Other Authors: Skiadas, Christos (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Understanding Complex Systems,
• Subjects: Physics.; System theory.; Statistical physics.; Vibration.; Dynamical systems.; Dynamics.; Nonlinear Dynamics.; Vibration, Dynamical Systems, Control.; Complex Systems.; History and Philosophical Foundations of Physics.

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. Th...

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.