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.
This book was motivated by and is an outcome of the CHAOS 2015 meeting held at the Henri Poincaré 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 Poincaré 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 Poincaré conjecture (only proved in 2006) along with his work on the three-body problem are considered to be the foundation of modern chaos theory.
Author(s): Christos Skiadas (eds.)
Series: Understanding Complex Systems
Edition: 1
Publisher: Springer International Publishing
Year: 2016
Language: English
Pages: XIV, 261
Tags: Nonlinear Dynamics;Vibration, Dynamical Systems, Control;Complex Systems;History and Philosophical Foundations of Physics
Front Matter....Pages i-xiv
Henri Poincaré’s Inventions in Dynamical Systems and Topology....Pages 1-25
From Nonlinear Oscillations to Chaos Theory....Pages 27-47
Hydrodynamic Turbulence as a Nonstandard Transport Phenomenon....Pages 49-57
Non-equilibrium Statistical Mechanics of Turbulence....Pages 59-70
The Kolmogorov Law of Turbulence What Can Rigorously Be Proved? Part II....Pages 71-89
History of Chaos from a French Perspective....Pages 91-101
Quasiperiodicity: Rotation Numbers....Pages 103-118
Heat Transfer in a Complex Medium....Pages 119-136
Plasma Hysteresis and Instability: A Memory Perspective....Pages 137-157
Stochastic Anti-Resonance in Polarization Phenomena....Pages 159-179
A Simple Plankton Model with Complex Behaviour....Pages 181-194
Chaos Theory, Fractals and Scaling in the Radar: A Look from 2015....Pages 195-218
Simulation of Multidimensional Nonlinear Dynamics by One-Dimensional Maps with Many Parameters....Pages 219-233
Sudden Cardiac Death and Turbulence....Pages 235-248
Absolute Negative Mobility in a Ratchet Flow....Pages 249-261
