This is due to the fact that the drifting of oxygen vacancies (state variables of the memristor) are highly nonlinear when switching occurred.
Nonetheless, transfer entropy is attractive due to its non-parametric "model agnostic" nature, particularly when interactions are likely to be highly nonlinear and hence unsuited to linear modelling.
However, the log-likelihood function is usually highly nonlinear; its derivatives will also be highly nonlinear.
We found the effect of the average temperature to be highly nonlinear and roughly U-shaped.
Specifically, σ(s) : [0, ∞) → (0, ∞) is a decreasing function satisfying σ(0) = 1 and lims→∞σ(s) = 0 and s = |∇u|2 = (∂u/∂x 2 + (∂u/∂y)2. Due to the presence of this term σ u), the operator div(σ∇u) is highly nonlinear and, when linearized by lagging the diffusivity σ, it has highly varying coefficients [4 8].
The structural behavior of a shallow arch is highly nonlinear, and so when the amplitude of the oscillation of the arch produced by a suddenly applied load is sufficiently large, the oscillation of the arch may reach a position at its primary unstable equilibrium path or secondary bifurcation unstable equilibrium path, leading the arch to buckle dynamically.
Furthermore, it would indicate that the impact of particles on CVD mortality risk is highly nonlinear; the exposure response relationship, when plotted on a nonlog scale, is much steeper at lower doses than it is at higher doses (see Pope et al. 2009, their Figure 1).
However; these capacitors are highly nonlinear and their value changes when the voltage across their terminals is changed.
Bioprocesses are appreciated as difficult to control because their dynamic behavior is highly nonlinear and time varying, in particular, when they are operating in fed batch mode.
Moreover, the new approach is applicable when the dimension of the uncertainties is high and when the system is highly nonlinear.
