Computational quest for Kaos-land
Chaotic Dynamics
2013-10-08 v2
Abstract
Using bi-parametric sweeping based on symbolic representation we reveal self-similar fractal structures induced by hetero- and homoclinic bifurcations of saddle singularities in the parameter space of two systems with deterministic chaos. We start with the system which displays several homoclinic bifurcations of higher codimension: resonant saddle, orbit-flip and inclination switch that all give rise to the onset of the Lorenz-type attractor in -systems with the homoclinic butterfly. The second system is the classic Lorenz model of 1963, originated in fluid mechanics.
Cite
@article{arxiv.1310.1122,
title = {Computational quest for Kaos-land},
author = {Tingli Xing and Jeremy Wojcik and Michael A. Zaks and Andrey L. Shilnikov},
journal= {arXiv preprint arXiv:1310.1122},
year = {2013}
}