%0 Journal Article
%T Kneadings, Symbolic Dynamics and Painting Lorenz Chaos. A Tutorial
%A Roberto Barrio
%A Andrey Shilnikov
%A Leonid Shilnikov
%J Physics
%D 2012
%I arXiv
%X A new computational technique based on the symbolic description utilizing kneading invariants is proposed and verified for explorations of dynamical and parametric chaos in a few exemplary systems with the Lorenz attractor. The technique allows for uncovering the stunning complexity and universality of bi-parametric structures and detect their organizing centers - codimension-two T-points and separating saddles in the kneading-based scans of the iconic Lorenz equation from hydrodynamics, a normal model from mathematics, and a laser model from nonlinear optics.
%U http://arxiv.org/abs/1204.3278v1