Biparameter Homotopy-based Direct Current Simulation of Multistable Circuits
H. Vazquez-Leal *
Electronic Instrumentation School, University of Veracruz, Xalapa, Veracruz, Mexico
R. Castaneda-Sheissa
Electronic Instrumentation School, University of Veracruz, Xalapa, Veracruz, Mexico
A. Yıldırım
Department of Mathematics, Ege University, 4146 Sk. No. 16, Zeytinalani Mah. Urla-Izmir, Turkey.
Y. Khan
Department of Mathematics, Zhejiang University, Hangzhou 310027, China
A. Sarmiento-Reyes
Electronics Department, National Institute for Astrophysics, Optics and Electronics, Sta. Maria Tonantzintla, Puebla, Mexico
V. Jimenez-Fernandez
Electronic Instrumentation School, University of Veracruz, Xalapa, Veracruz, Mexico
A.L. Herrera-May
Micro and Nanotechnology Research Center, University of Veracruz, Boca del Rio, Veracruz, Mexico
U. Filobello-Nino
Electronic Instrumentation School, University of Veracruz, Xalapa, Veracruz, Mexico
F. Rabago-Bernal
Physics Institute, Autonomous University of San Luis Potosi, San Luis Potosi, SLP, Mexico
C. Hoyos-Reyes
Electronic Instrumentation School, University of Veracruz, Xalapa, Veracruz, Mexico
*Author to whom correspondence should be addressed.
Abstract
The microelectronics area constantly demands better and improved circuit simulation tools. This is the reason that this article is to present a biparameter homotopy with automated stop criterion, which is applied to direct current simulation of multistable circuits. This homotopy possesses the
following characteristics: symmetry axis, double bounding solution line, arbitrary initial and final points, and lessen the nonlinearities that exist in the circuit. Besides, this method will be exemplified and discussed by using a benchmark multistable circuit.
Keywords: Homotopy continuation, multistable circuit.