59 citations · 222 across the 21 of their papers we have counts for
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math.DS2015★ 6 cited
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…
math.DS2015★ 14 cited
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…