66 citations · 117 across the 13 of their papers we have counts for
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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…
Extended and symmetric loss of stability for canards in planar fast-slow maps
Maximilian Engel, Hildeberto Jardón-Kojakhmetov
We study fast-slow maps obtained by discretization of planar fast-slow systems in continuous time. We focus on describing the so-called delayed loss of stability induced by the slo…
Controlling Canard Cycles
Hildeberto Jardon-Kojakhmetov, Christian Kuehn
Canard cycles are periodic orbits that appear as special solutions of fast-slow systems (or singularly perturbed Ordinary Differential Equations). It is well known that canard cycl…
On fast-slow consensus networks with a dynamic weight
Hildeberto Jardón-Kojakhmetov, Christian Kuehn
We study dynamic networks under an undirected consensus communication protocol and with one state-dependent weighted edge. We assume that the aforementioned dynamic edge can take v…
A survey on the blow-up method for fast-slow systems
Hildeberto Jardon-Kojakhmetov, Christian Kuehn
In this document we review a geometric technique, called \emph{the blow-up method}, as it has been used to analyze and understand the dynamics of fast-slow systems around non-hyper…