Taran A.N.,Moscow Technical University of Communications and Informatics |
Taran V.N.,Rostov State University of Transport Communication Lines
Journal of Communications Technology and Electronics | Year: 2014
The functional atlas of the initial system of nonlinear differential equations is split into local charts with the help of a multidimensional Taylor series expansion. In each chart, the approximation with a weakly nonlinear Volterra-Wiener series up to the fourth order is used, where a chart is changed when its boundaries are crossed. It is established that the obtained approach allows one to increase the accuracy and reliability of the calculated output response of the nonlinear system as compared to the classical Volterra-Wiener series approach. The results of the numerical simulation of a nonlinear RC circuit are presented and the efficiency of the proposed method is shown. © 2014 Pleiades Publishing, Inc.