2 papers
math.DS2020
Blowing-up Nonautonomous Vector Fields: Infinite Delay Equations and Invariant Manifolds
Luca Arcidiacono, Christian Kuehn
We show the existence of nonautonomous invariant manifolds for planar, asymptotically autonomous differential equations, that have equilibrium solutions with zero Lyapunov spectrum…
math.DS2019
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…