Table of Contents
ISRN Applied Mathematics
Volume 2011, Article ID 610637, 7 pages
Research Article

Powering Multiparameter Homotopy-Based Simulation with a Fast Path-Following Technique

1Electronic Instrumentation and Atmospheric Sciences School, University of Veracruz, 91000 Xalapa, VER, Mexico
2Institute of Physics, Autonomous University of San Luis Potosi, 78000 San Luis Potosi, SLP, Mexico
3Electronics Department, National Institute for Astrophysics, Optics and Electronics, 72000 Tonantzintla, PUE, Mexico

Received 30 June 2011; Accepted 23 August 2011

Academic Editors: F. Jauberteau and C. I. Siettos

Copyright © 2011 Héctor Vázquez-Leal et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The continuous scaling for fabrication technologies of electronic circuits demands the design of new and improved simulation techniques for integrated circuits. Therefore, this work shows how the hypersphere technique can be adapted and applied to trace a multiparameter homotopy. Besides, we present a path-following technique based on circles (evolved from hypersphere), which is faster, and simpler to be implemented than hypersphere technique. Last, a comparative analysis between both techniques applied to simulation of circuits with bipolar transistors will be shown.