Chua Corsage Memristor Oscillator via Hopf Bifurcation
Abstract
This paper demonstrates that the Chua Corsage Memristor, when connected in series with an inductor and a battery, oscillates about a locally-activeoperating point located on the memristor’s DC – curve. On the operating point, a small-signal equivalent circuit is derived via a Taylor series expansion. The small-signal admittance 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 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.
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