This can happen in the steep firing rate regime.
Also, steep firing rate functions, or even the Heaviside function, are often used in simulations.
An easy solution to the issues raised in this paper, is to avoid steep firing rate functions.
In addition, the error amplification in the steep firing rate regime can become extreme [9] and the accurate numerical solution of such models is thus challenging.
Nevertheless, in the steep firing rate regime, the problem may become close to ill posed, and the error amplification, in finite time, can be very large.
Figures 3 and 4 show that this minor change of the initial condition, in the steep firing rate regime, has a huge impact on the solution of the model.
If a Lipschitz continuous but steep firing rate function is employed, then standard ODE theory implies that such models are well-posed and can thus, approximately, be solved with finite precision arithmetic.
We conclude that, if a steep firing rate function is employed, then minor round-off errors can have a devastating effect on simulations, unless proper error-control schemes are used.
Farther south, in the steep, fire-prone canyons of Big Sur, homeowners worked with their local Fire Safe Council, volunteer Fire Brigades, and county and state agencies to remove dead trees from the defensible space around structures.
Authorities say the casks holding the nuclear fuel can withstand steep falls, fires, punctures and underwater pressure.
