35 citations · 36 across the 2 of their papers we have counts for
2 papers
math.DS2024★ 1 cited
Averaging theory and catastrophes
Pedro C. C. R. Pereira, Mike R. Jeffrey, Douglas D. Novaes
When a dynamical system is subject to a periodic perturbation, the averaging method can be applied to obtain an autonomous leading order "guiding system", placing the time dependen…
math.DS2012★ 35 cited
Canards and curvature: nonsmooth approximation by pinching
Mathieu Desroches, Mike R. Jeffrey
In multiple time-scale (singularly perturbed) dynamical systems, canards are counterintuitive solutions that evolve along both attracting and repelling invariant manifolds. In two…