44 citations · 85 across the 10 of their papers we have counts for
8 papers · 1 filter
Normal-normal resonances in a double Hopf bifurcation
Henk Broer, Heinz Hanßmann, Florian Wagener
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-nor…
Fungal tip growth arising through a codimension-1 global bifurcation
T. G. de Jong, A. E. Sterk, H. W. Broer
Tip growth is a growth stage which occurs in fungal cells. During tip growth, the cell exhibits continuous extreme lengthwise growth while its shape remains qualitatively the same.…
De Sitter's Theory of Galilean Satellites and the Related Quasi-periodic Orbits
Henk Broer, Lei Zhao
In this article, we investigate the mathematical part of De Sitter's theory on the Galilean satellites, and further extend this theory by showing the existence of some quasi-period…
Analysis of a slow-fast system near a cusp singularity
H. Jardón-Kojakhmetov, Henk W. Broer, R. Roussarie
This paper studies a slow-fast system whose principal characteristic is that the slow manifold is given by the critical set of the cusp catastrophe. Our analysis consists of two ma…
Polynomial normal forms of Constrained Differential Equations with three parameters
H. Jardón-Kojakhmetov, Henk Broer
We study generic constrained differential equations (CDEs) with three parameters, thereby extending Takens's classification of singularities of such equations. In this approach, th…
Cotangent bundle reduction and Poincaré-Birkhoff normal forms
Ünver Çiftçi, Holger Waalkens, Henk Broer
In this paper we study a systematic and natural construction of canonical coordinates for the reduced space of a cotangent bundle with a free Lie group action. The canonical coordi…