59 citations · 222 across the 21 of their papers we have counts for
3 papers · 1 filter
Turing Computation with Recurrent Artificial Neural Networks
Giovanni S Carmantini, Peter beim Graben, Mathieu Desroches +1
We improve the results by Siegelmann & Sontag (1995) by providing a novel and parsimonious constructive mapping between Turing Machines and Recurrent Artificial Neural Networks, ba…
Nonsmooth analogues of slow-fast dynamics -- pinching at a folded node
Mathieu Desroches, Mike R. Jeffrey
The folded node is a singularity associated with loss of normal hyperbolicity in systems where mixtures of slow and fast timescales arise due to singular perturbations. Canards are…
From Canards of Folded Singularities to Torus Canards in a Forced van der Pol Equation
J. Burke, M. Desroches, A. Granados +3
We study canard solutions of the forced van der Pol (fvdP) equation in the relaxation limit for low-, intermediate-, and high-frequency periodic forcing. A central numerical observ…