44 citations · 85 across the 10 of their papers we have counts for
11 papers
Recent advances in the monodromy theory of integrable Hamiltonian systems
Nikolay Martynchuk, Henk W. Broer, Konstantinos Efstathiou
The notion of monodromy was introduced by J. J. Duistermaat as the first obstruction to the existence of global action coordinates in integrable Hamiltonian systems. This invariant…
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.…
Hamiltonian monodromy and Morse theory
Nikolay Martynchuk, Henk W. Broer, Konstantinos Efstathiou
We show that Hamiltonian monodromy of an integrable two degrees of freedom system with a global circle action can be computed by applying Morse theory to the Hamiltonian of the sys…
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…