a College of Information Engineering，Xiangtan University, Xiangtan 411105, China; b Department of Optoelectronic Engineering，Xiangtan University, Xiangtan 411105, China
Abstract A novel inductance-free nonlinear oscillator circuit with a single bifurcation parameter is presented in this paper. This circuit is composed of a twin-T oscillator, a passive RC network, and a flux-controlled memristor. With the increase of control parameter, the circuit exhibits complicated chaotic behaviors from double periodicity. The dynamic properties of the circuit are demonstrated by means of equilibrium stability, Lyapunov exponent spectrum, and bifurcation diagram. In order to confirm the occurrence of chaotic behavior in the circuit, an analog realization of the piecewise-linear flux controlled memristor is proposed and Pspice simulation is conducted on the resulting circuit.
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