The Foundations of Chaos Revisited: From Poincaré to Recent Advancements

Christos Skiadas is the Founder and Director of the Data Analysis and Forecasting Laboratory in the Technical University of Crete. A former vice-Rector of the Technical University of Crete and Chairman of the Department of Production Engineering and Management, he also served as a consultant in various firms. His main scientific and research interests is innovation diffusion modelling and forecasting, life table data modelling and healthy life expectancy estimates, including applications in finance and insurance. He conducts also research in deterministic, stochastic and chaotic modeling. Among the many books he has authored and edited is the article collection Advances in Data Analysis (Springer Birkhäuser Basel 2010).

Preface.- HenriPoincaré's inventions in dynamical systems and topology.- From nonlinearoscillations to chaos theory.- Hydrodynamic turbulence as a nonstandardtransport phenomenon.- Non-equilibrium statistical mechanics of turbulence: commentson Ruelle's intermittency theory.- The Kolmogorov law of turbulence  - what can rigorously be proved?.- History ofchaos from a French perspective.- Measuring quasiperiodicity.- Heat transfer ina complex medium.- Plasma hysteresis and instability: a memory perspective.- Stochasticanti-resonance in polarization phenomena.- A simple plankton model with complexbehavior.- Fractal Radar: Towards 1980 - 2015.- Simulation of multidimensionalnonlinear dynamics by one-dimensional maps with many parameters.- Suddencardiac death and turbulence.- Absolute negative mobility in a ratchet flow.