41 citations · 64 across the 16 of their papers we have counts for
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Singularly Perturbed Oscillators with Exponential Nonlinearities
Samuel Jelbart, Kristian Uldall Kristiansen, Peter Szmolyan +1
Singular exponential nonlinearities of the form with small occur in many different applications. These terms have essential singularities for leading t…
Geometric analysis of Oscillations in the Frzilator model
Hadi Taghvafard, Hildeberto Jardon-Kojakhmetov, Peter Szmolyan +1
A biochemical oscillator model, describing developmental stage of myxobacteria, is analyzed mathematically. Observations from numerical simulations show that in a certain range of…
Relaxation oscillations in substrate-depletion oscillators close to the nonsmooth limit
Kristian Uldall Kristiansen, Peter Szmolyan
In this paper, we describe a novel type of relaxation oscillations occurring in a model of substrate-depletion oscillators. Using geometric singular perturbation theory, with blow-…