64 citations · 387 across the 46 of their papers we have counts for
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math.DS2015★ 1 cited
Fast phase randomisation via two-folds
D. J. W. Simpson, M. R. Jeffrey
A two-fold is a singular point on the discontinuity surface of a piecewise-smooth vector field, at which the vector field is tangent to the discontinuity surface on both sides. If…
math.DS2015★ 1 cited
The influence of localised randomness on regular grazing bifurcations with applications to impacting dynamics
David J. W. Simpson, Rachel Kuske
This paper concerns stochastic perturbations of piecewise-smooth ODE systems relevant for vibro-impacting dynamics, where impact events constitute the primary source of randomness.…