In the electric circuit of the reactor, [C.sub.d], [R.sub.d] are the capacitance and nonlinear active resistance of the discharge gap (DG), and C, R are the capacitance and nonlinear resistance
of the water layer between the DG and a low-voltage (grounded) electrode ([C'.sub.d], [R'.sub.d], C', R" are the reduced to the primary winding of PT values of these quantities), respectively.
Especially for online operation process of high-speed trains, it raises the nonlinear resistance
force which makes many classical control methods based on the linear resistance force model or the single equilibrium point linearizable model difficult to be implemented.
The intrinsic junction shunt nonlinear resistance
R(V) is modelled by a piecewise linear resistor as shown in Figure 1(b).
 derived the demand relationship between linear and nonlinear resistance
of beam and catenary mechanisms in the collapse process of frame structures.
Second, the proposed model includes Rds as a nonlinear resistance
(depending on the gate-source voltage and the drain-source voltage), both in the off-state operation and in the on-state operation, including the nonlinear behaviour in the sub-threshold region, whereas conventional modelling of power MOSFETs normally includes the nonlinear capacitances only in the off-state operation.
The characteristic intensity-tension [U.sub.r] of the nonlinear resistance
(R) is given as:
A HIF model by using two series nonlinear resistance
shown in Figure 3 was presented in 2001.
In the real financial market, the effects of the nonlinear resistance
coefficient on the infectious scale and range of credit risk have a decisive influence.
In this spirit, Comte and Marquie  pointed out that the introduction of the nonlinear resistance
in the series branch of the nonlinear transmission line modeling the front propagation in reaction-diffusion equations can create a nonlinear diffusion and then the compactification of kink solitary waves.
But the secondary arc is modeled by a nonlinear resistance
. The mean arc resistance is programmed as an exponential function of the rms current i.e.
Modeling of nonlinear resistance
of electro-spark load taking into account its changes during discharge current flowing in the load and at zero current in it.
Figure 4 indicates a chaotic nonlinear oscillator in which a nonlinear resistance
is replaced with the memristor.