Symbolic Toolkit for Chaos Explorations
Chaotic Dynamics
2017-11-22 v1
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.
Cite
@article{arxiv.1310.4898,
title = {Symbolic Toolkit for Chaos Explorations},
author = {Tingli Xing and Jeremy Wojcik and Roberto Barrio and Andrey Shilnikov},
journal= {arXiv preprint arXiv:1310.4898},
year = {2017}
}
Comments
International Conference on Theory and Application in Nonlinear Dynamics (ICAND 2012)