Title :
Fast and simple method to find all equilibrium points of dynamic 1-D arrays
Author :
Pastore, S. ; Premoli, A.
Author_Institution :
Dipt. di Elettrotecnica Elettronica ed Inf., Trieste Univ., Italy
fDate :
12/1/2001 12:00:00 AM
Abstract :
A very fast and simple algorithm for finding all equilibrium points of dynamic one-dimensional (1-D) arrays, constituted by resistively coupled dynamic piecewise-linear cells (for example, oscillators), is presented. This algorithm is based oil the recursive construction of a uni-path V-I characteristic derived from the associated resistive array, obtained by opening the capacitors and shortening the inductors within dynamic cells. Some examples show the efficiency of the algorithm. About 30000 equilibrium points of a 100-cell array are determined within a few seconds with a common PC
Keywords :
arrays; cascade networks; circuit analysis computing; nonlinear network analysis; piecewise linear techniques; 1D autonomous dynamic PWL arrays; cascade structure; dynamic 1D arrays; dynamic one-dimensional arrays; equilibrium points; one-port subnetworks; recursive construction; resistive array; resistively coupled dynamic piecewise-linear cells; uni-path V-I characteristic;
Journal_Title :
Circuits, Devices and Systems, IEE Proceedings -
DOI :
10.1049/ip-cds:20010649
