Relaxation oscillations in substrate-depletion oscillators close to the nonsmooth limit

The Regularized Visible Fold Revisited

(2020) K. Uldall Kristiansen   JOURNAL OF NONLINEAR SCIENCE

A new type of relaxation oscillation in a model with rate-and-state friction

(2020) K Uldall Kristiansen   NONLINEARITY

Resolution of the Piecewise Smooth Visible–Invisible Two-Fold Singularity in R3 Using Regularization and Blowup

(2018) K. Uldall Kristiansen et al.   JOURNAL OF NONLINEAR SCIENCE

Blowup for flat slow manifolds

(2017) K U Kristiansen   NONLINEARITY

Canards in Stiction: On Solutions of a Friction Oscillator by Regularization

(2017) Elena Bossolini et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Regularization of sliding global bifurcations derived from the local fold singularity of Filippov systems

(2016) Carles Bonet-Revés et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Piecewise Smooth Dynamical Systems Theory: The Case of the Missing Boundary Equilibrium Bifurcations

(2016) S. J. Hogan et al.   JOURNAL OF NONLINEAR SCIENCE

Geometric analysis of the Goldbeter minimal model for the embryonic cell cycle

(2015) Ilona Kosiuk et al.   JOURNAL OF MATHEMATICAL BIOLOGY

Regularizations of Two-Fold Bifurcations in Planar Piecewise Smooth Systems Using Blowup

(2015) K. Uldall Kristiansen et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

On the Use of Blowup to Study Regularizations of Singularities of Piecewise Smooth Dynamical Systems in $\mathbb{R}^3$

(2015) K. Uldall Kristiansen et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Scaling in Singular Perturbation Problems: Blowing Up a Relaxation Oscillator

(2011) Ilona Kosiuk et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

The Geometry of Generic Sliding Bifurcations

(2011) M. R. Jeffrey et al.   SIAM REVIEW

Geometric singular perturbation analysis of an autocatalator model

(2009) Ilona Gucwa et al.   Discrete and Continuous Dynamical Systems-Series S