The Foundations of Chaos Revisited: From Poincar? to Recent Advancements, Christos Skiadas

Preface.- Henri Poincarйs 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 Ruelles 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.