17 citations · 29 across the 7 of their papers we have counts for
7 papers
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…
Singular limit analysis of a model for earthquake faulting
Elena Bossolini, Morten Brøns, Kristian Uldall Kristiansen
In this paper we consider the one dimensional spring-block model describing earthquake faulting. By using geometric singular perturbation theory and the blow-up method we provide a…
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…
An iterative method for the approximation of fibers in slow-fast systems
Kristian Uldall Kristiansen, Morten Brøns, Jens Starke
In this paper we extend a method for iteratively improving slow manifolds so that it also can be used to approximate the fiber directions. The extended method is applied to general…
A Computational Study of the Dynamics of the Critical Points in a Simple Fluid Flow
Morten Brøns, Anders Skajaa, Ove Skovgaard
We carry out a computational experiment inspired by a physical experiment by Ouellette and Gollub (PRL 99, 194502 (2007)) where a topological transition of the velocity field in a…