Foundations of Chaos Revisited: From Poincaré to Recent Advancements

With contributions from a number of pioneeringresearchers in the field, this collection is aimed not only at researchers andscientists in nonlinear dynamics but also at a broader audience interested inunderstanding and exploring how modern chaos theory has developed since thedays of Poincaré. This book was motivated by and isan outcome of the CHAOS 2015 meeting held at the Henri Poincaré Institute inParis, which provided a perfect opportunity to gain inspiration and discuss newperspectives on the history, development and modern aspects of chaos theory. HenriPoincaré is remembered as a great mind in mathematics, physics and astronomy.His works, well beyond their rigorous mathematical and analytical style, areknown for their deep insights into science and research in general, and thephilosophy of science in particular. The Poincaré conjecture (only proved in2006) along with his work on the three-body problem are considered to be thefoundation of modern chaos theory.