52 citations · 159 across the 19 of their papers we have counts for
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math.DS2013★ 1 cited
Non-Filippov dynamics arising from the smoothing of nonsmooth systems, and its robustness to noise
Mike R. Jeffrey, David J. W. Simpson
Switch-like behaviour in dynamical systems may be modelled by highly nonlinear functions, such as Hill functions or sigmoid functions, or alternatively by piecewise-smooth function…
math.DS2013★ 47 cited
Non-determinism in the limit of nonsmooth dynamics
Mike R. Jeffrey
Discontinuous time derivatives are used to model threshold-dependent switching in such diverse applications as dry friction, electronic control, and biological growth. In a continu…