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Research Article Open access CC BY 3.0

Biparameter Homotopy-based Direct Current Simulation of Multistable Circuits

H. Vazquez-Leal, R. Castaneda-Sheissa, A. Yıldırım, Y. Khan, A. Sarmiento-Reyes, V. Jimenez-Fernandez, A.L. Herrera-May, U. Filobello-Nino, F. Rabago-Bernal, C. Hoyos-Reyes

Journal of Advances in Mathematics and Computer Science · pp. 137–150 · Published 13 Oct 2012

10.9734/BJMCS/2012/1346

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.

Homotopy continuation multistable circuit.

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