4 papers · 1 filter
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…
Local theory for spatio-temporal canards and delayed bifurcations
Daniele Avitabile, Mathieu Desroches, Romain Veltz +1
We present a rigorous framework for the local analysis of canards and slow passages through bifurcations in a wide class of infinite-dimensional dynamical systems with time-scale s…
Computational singular perturbation method for nonstandard slow-fast systems
Ian Lizarraga, Martin Wechselberger
The computational singular perturbation (CSP) method is an algorithm which iteratively approximates slow manifolds and fast fibers in multiple-timescale dynamical systems. Since it…
Two-Stroke Relaxation Oscillators
Samuel Jelbart, Martin Wechselberger
Two-stroke relaxation oscillations consist of two distinct phases per cycle - one slow and one fast - which distinguishes them from the well-known van der Pol-type 'four-stroke' re…