8 citations · 11 across the 4 of their papers we have counts for
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Canards in stiction: on solutions of a friction oscillator by regularization
Elena Bossolini, Morten Brøns, Kristian Uldall Kristiansen
We study the solutions of a friction oscillator subject to stiction. This discontinuous model is non-Filippov, and the concept of Filippov solution cannot be used. Furthermore some…
On the approximation of the canard explosion point in epsilon-free systems
Morten Brøns, Kristian Uldall Kristiansen
A canard explosion is the dramatic change of period and amplitude of a limit cycle of a system of non-linear ODEs in a very narrow interval of the bifurcation parameter. It occurs…
An iterative method for the canard explosion in general planar systems
Morten Brøns
The canard explosion is the change of amplitude and period of a limit cycle born in a Hopf bifurcation in a very narrow parameter interval. The phenomenon is well understood in sin…
A Coaxial Vortex Ring Model for Vortex Breakdown
Denis Blackmore, Morten Brons, Arnaud Goullet
A simple - yet plausible - model for B-type vortex breakdown flows is postulated; one that is based on the immersion of a pair of slender coaxial vortex rings in a swirling flow of…