Abstract—The bifurcation characterized by a phase transition, ie a temperature where the material structure changes qualitatively exists in a number of dielectrics. The Landau model for interpreting this kind of bifurcation, the degree of nonlinearity is controlled by temperature and allows the realization of nonlinear capacitors. An RLC circuit realized by such capacitors present chaotic solutions. We propose to study the nonlinear behavior by linearization in the sense of least squares.

Index Terms—Model Landau, phase transition, capacitor nonlinear bifurcation optimal linearization

T. Benouaz i is with the Laboratoire d'Automatique, B p 119 , Abu Bakr Belkaid University, Tlemcen, 13000, Algeria . (e-mail: T_benouaz@mail-univ-tlemcen.dz).
F. Belkhouche , was with the Modeling laboratory, Department of physics, University of Tlemcen, B.p. 119, Tlemcen R.pN. Ghouali,is was Laboratoire d'Automatique, B p 119 , Abu Bakr Belkaid University, Tlemcen, 13000, Algeria.

Cite: T. Benouaz, F. Belkhouche and N. Ghouali, "Study of the Bifurcation Generated by a Phase Transition. Application to a Nonlinear Capacitor," International Journal of Computer and Electrical Engineering vol. 2, no. 5, pp. 887-890, 2010.