A new algebraically simple five-minimum-term approach to an existing FDNR-based chaotic circuit and its new homoclinic orbit

Abstract

A new algebraically simple five-minimum-term approach to an existing FDNR-based chaotic circuit is presented. An existing piecewise-linear model of a diode is replaced with a new better model using a conventional diode equation. Such a new model results in algebraically simple five minimum terms in three coupled ordinary differential equations (ODEs). Not only are the ODEs reduced from six to five minimum algebraic terms, but also from two nonlinear terms to a single nonlinear term. Better versions of chaotic attractors, a new bifurcation diagram and a new largest Lyapunov exponent are depicted. In particular, a new homoclinic orbit of the circuit is illustrated.