Super-Critical and Sub-Critical Hopf bifurcations in two and three dimensions
Chaotic Dynamics
2013-09-24 v1 Mathematical Physics
math.MP
Abstract
Hopf bifurcations have been studied perturbatively under two broad headings, viz., super-critical and sub-critical. The criteria for occurrences of such bifurcations have been investigated using the renormalization group. The procedure has been described in details for both two and three dimensions and has been applied to several important models, including those by Lorenz and Rossler.
Keywords
Cite
@article{arxiv.1309.5470,
title = {Super-Critical and Sub-Critical Hopf bifurcations in two and three dimensions},
author = {Debapriya Das and Dhruba Banerjee and Jayanta K. Bhattacharjee},
journal= {arXiv preprint arXiv:1309.5470},
year = {2013}
}
Comments
16 pages, 7 figures