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arXiv · 2001.08916

Normal-normal resonances in a double Hopf bifurcation

Henk Broer·Heinz Hanßmann·Florian Wagener
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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.

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Henk Broer, Heinz Hanßmann, Florian Wagener. 2020-01-24. Normal-normal resonances in a double Hopf bifurcation. https://arxiv.org/abs/2001.08916

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