Homoclinic chaos in the R\"ossler model
Chaotic Dynamics
2020-09-01 v1
Abstract
We study the origin of homoclinic chaos in the classical 3D model proposed by O. R\"ossler in 1976. Of our particular interest are the convoluted bifurcations of the Shilnikov saddle-foci and how their synergy determines the global unfolding of the model, along with transformations of its chaotic attractors. We apply two computational methods proposed, 1D return maps and a symbolic approach specifically tailored to this model, to scrutinize homoclinic bifurcations, as well as to detect the regions of structurally stable and chaotic dynamics in the parameter space of the R\"ossler model.
Keywords
Cite
@article{arxiv.2008.12865,
title = {Homoclinic chaos in the R\"ossler model},
author = {Semyon Malykh and Yuliya Bakhanov and Alexey Kazakov and Krishna Pusuluri and Andrey L. Shilnikov},
journal= {arXiv preprint arXiv:2008.12865},
year = {2020}
}