An extension of Bruton\´s concept of FDNR and FDNG elements to the nonlinear

-controlled conductance and resistance networks is given in the paper. The applications of this concept to the simulation of nonlinear functions are presented. These applications include the simulation of an arbitrary rational transfer function of

th order by using minimum or close to minimum number of analog multipliers as well as orthogonal Chebyshev polynomials of the first and second kind.