Normal-normal resonances in a double Hopf bifurcation
Dynamical Systems
2020-01-27 v1
Abstract
We investigate the stability loss of invariant n-dimensional quasi-periodic tori during a double Hopf bifurcation, where at bifurcation the two normal frequencies are in normal-normal resonance. Invariants are used to analyse the normal form approximations in a unified manner. The corresponding dynamics form a skeleton for the dynamics of the original system. Here both normal hyperbolicity and KAM theory are being used.
Cite
@article{arxiv.2001.08916,
title = {Normal-normal resonances in a double Hopf bifurcation},
author = {Henk Broer and Heinz Hanßmann and Florian Wagener},
journal= {arXiv preprint arXiv:2001.08916},
year = {2020}
}
Comments
22 pages, 6 figures