SDG meeting: Andrey Shilnikov -- Symbolic quest into homoclinic chaos

Title: “Symbolic quest into homoclinic chaos” 

Abstract: We demonstrate how the original computational technique, based on the symbolic
description and kneading invariants, can disclose the complexity and universality of
parametric structures and their link with nonlocal bifurcations in a few of
representative systems with strange attractors.  We explore the multi-fractal,
self-similar organization of heteroclinic and homoclinic bifurcations of saddle
singularities in the parameter space of these models.  

ANDREY SHILNIKOV Neuroscience Institute and Department of Mathematics and Statistics,
Georgia State University, Atlanta 30303, USA.  ashilnikov@gsu.edu