Topology and dynamics of chaos : in celebration of Robert Gilmore's 70th birthday / edited by Christophe Letellier, CORIA - University of Rouen, France, Robert Gilmore, Drexel University, USA.
Publication Info.
[Hackensack] New Jersey : World Scientific, [2013]
Introduction to topological analysis / Christophe Letellier and Robert Gilmore -- The peregrinations of Poincare / R. Abraham -- A Toulouse research group in the "prehistoric" times of chaotic dynamics / Christian Mira -- Can we trust in numerical computations of chaotic solutions of dynamical systems? / Rene Lozi -- Chaos hierarchy - a review, thirty years later / Otto E. Rossler and Christophe Letellier -- The mathematics of Lorenz knots / Joan S. Birman -- A braided view of a knotty story / Mario Natiello and Hernan Solari -- How topology came to chaos / Robert Gilmore -- Reflections from the fourth dimension / Marc Lefranc -- The symmetry of chaos / Christophe Letellier -- The shape of ocean color / Nicholas Tufillaro -- Low Dimensional dynamics in biological motor patterns / Gabriel B. Mindlin -- Minimal smooth chaotic flows / Jean-Marc Malasoma -- The chaotic marriage of physics and financial economics / Claire Gilmore -- Introduction of the sphere map with application to spin-torque nano-oscillators / Keith Gilmore and Robert Gilmore -- Robert Gilmore, a portrait / Hernan G. Solari.
