33 citations · 189 across the 26 of their papers we have counts for
5 papers · 1 filter
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…
A Random Dynamical Systems Perspective on Isochronicity for Stochastic Oscillations
Maximilian Engel, Christian Kuehn
For an attracting periodic orbit (limit cycle) of a deterministic dynamical system, one defines the isochron for each point of the orbit as the cross-section with fixed return time…
Discretized Fast-Slow Systems with Canards in Two Dimensions
Maximilian Engel, Christian Kuehn, Matteo Petrera +1
We study the problem of preservation of maximal canards for time discretized fast-slow systems with canard fold points. In order to ensure such preservation, certain favorable stru…
Discretized Fast-Slow Systems near Pitchfork Singularities
Luca Arcidiacono, Maximilian Engel, Christian Kuehn
Motivated by the normal form of a fast-slow ordinary differential equation exhibiting a pitchfork singularity we consider the discrete-time dynamical system that is obtained by an…
A Markov jump process modelling animal group size statistics
Pierre Degond, Maximilian Engel, Jian-Guo Liu +1
We translate a coagulation-framentation model, describing the dynamics of animal group size distributions, into a model for the population distribution and associate the \blue{nonl…