Chua Corsage Memristor Oscillator via Hopf Bifurcation

This paper demonstrates that the Chua Corsage Memristor, when connected in series with an inductor and a battery, oscillates about a locally-active operating point located on thememristor's DC V-I curve. On the operating point, a small-signal equivalent circuit is derived via a Taylor series expansion. The small-signal admittance Y (s, V) is derived from the small-signal equivalent circuit and the value of inductance is determined at a frequency where the real part of the admittance Re Y (i omega) of the small-signal equivalent circuit of Chua Corsage Memristor is zero. Oscillation of the circuit is analyzed via an in-depth application of the theory of Local Activity, Edge of Chaos and the Hopf-bifurcation.