Abstract—The aim of this work is to apply the 0ptimal Derivative procedure to a physical nonlinear system with excitation. We present a study of a nonlinear electronic circuit with excitation and the nonlinearity is the Josephson junction.

Index Terms—Nonlinear system - ordinary differential equation - optimal Derivative - Josephson junction.

T. Benouaz i is with the Laboratoire d'Automatique, B p 119 , Abu BakrBelkaid University, Tlemcen, 13000, Algeria . (e-mail: T_benouaz@mail-univ-tlemcen.dz).
Dr.M. F Bendahmane , was in with the Telecommunication laboratory,Department of physics, University of Tlemcen, B.p. 119, Tlemcen R.pN. Ghouali,is was Laboratoire d'Automatique, B p 119 , Abu BakrBelkaid University, Tlemcen, 13000, Algeria.
Laboratoire de Télécommunications
Laboratoire d’Automatique

Cite: M.F. Bendahmane, T. Benouaz and N. Ghouali, "Least Square Linearization of a Nonlinear System with Excitation-Application to a Nonlinear Junction Type Josephson," International Journal of Computer and Electrical Engineering vol. 3, no. 1, pp. 141-145, 2011.