Symbolic Toolkit for Chaos Explorations
arXiv:1310.4898 · doi:10.1007/978-3-319-02925-2_12
Abstract
New computational technique based on the symbolic description utilizing kneading invariants is used for explorations of parametric chaos in a two exemplary systems with the Lorenz attractor: a normal model from mathematics, and a laser model from nonlinear optics. The technique allows for uncovering the stunning complexity and universality of the patterns discovered in the bi-parametric scans of the given models and detects their organizing centers -- codimension-two T-points and separating saddles.
International Conference on Theory and Application in Nonlinear Dynamics (ICAND 2012)