52 citations · 159 across the 19 of their papers we have counts for
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math.DS2016
A unified approach to explain contrary effects of hysteresis and smoothing in nonsmooth systems
Carles Bonet-Reves, Tere M. Seara, Enric Fossas +1
Piecewise smooth dynamical systems make use of discontinuities to model switching between regions of smooth evolution. This introduces an ambiguity in prescribing dynamics at the d…
math.DS2016★ 12 cited
Jitter in Dynamical Systems with Intersecting Discontinuity Surfaces
Mike R. Jeffrey, Georgios Kafanas, David J. W. Simpson
Mathematical models involving switches --- in the form of differential equations with discontinuities --- can accomodate real-world non-idealities through perturbations by hysteres…