Memristor

a nonlinear resistor with memory property

is the fourth basic two-terminal circuit element realized physically recently.In this paper

an active flux-controlled memristor with piecewise-quadratic nonlinearity is taken as an example

upon which voltage-current relationship of the active memristor is analyzed

and frequency response characteristic of a series circuit consisting of an active flux-controlled memristor and a capacitor (simplified by active WC circuit)is studied.The comparison analysis between active WC circuit and active RC circuit is performed.The results indicate that voltage-current characteristics of the active memristor exhibit pinched hysteresis loops and depend on the inner initial states;both active WC circuit and active RC circuit show high pass properties

but the former is a lead network and the latter is a lag network.Circuit simulations are performed based on equivalent circuit of active flux-controlled memristor

which well verify theoretical analysis results.